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Discussion_Papers / Papers / 1999 / 99-16 / subjective-errors.ps
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% Character code assignments were made as follows:
% 
% (1) the Windows ANSI characters are almost all in their Windows ANSI
% positions, because some Windows users cannot easily reencode the
% fonts, and it makes no difference on other systems. The only Windows
% ANSI characters not available are those that make no sense for
% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
% (173). quotesingle and grave are moved just because it's such an
% irritation not having them in TeX positions.
% 
% (2) Remaining characters are assigned arbitrarily to the lower part
% of the range, avoiding 0, 10 and 13 in case we meet dumb software.
% 
% (3) Y&Y Lucida Bright includes some extra text characters; in the
% hopes that other PostScript fonts, perhaps created for public
% consumption, will include them, they are included starting at 0x12.
% 
% (4) Remaining positions left undefined are for use in (hopefully)
% upward-compatible revisions, if someday more characters are generally
% available.
% 
% (5) hyphen appears twice for compatibility with both 
% ASCII and Windows.
% 
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% 0x00 (encoded characters from Adobe Standard not in Windows 3.1)
  /.notdef /dotaccent /fi /fl
  /fraction /hungarumlaut /Lslash /lslash
  /ogonek /ring /.notdef
  /breve /minus /.notdef 
% These are the only two remaining unencoded characters, so may as
% well include them.
  /Zcaron /zcaron 
% 0x10
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% (unusual TeX characters available in, e.g., Lucida Bright)
 /dotlessj /ff /ffi /ffl 
 /.notdef /.notdef /.notdef /.notdef
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% 0x20 (ASCII begins)
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% 0x30
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% 0x40
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% 0x50
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% 0x60
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% 0x70
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% 0x80
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% 0x90
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% 0xA0
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 /logicalnot
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 /macron
% 0xD0
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 /cedilla /onesuperior /ordmasculine /guillemotright
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% 0xC0
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 /Igrave /Iacute /Icircumflex /Idieresis
% 0xD0
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 /Ocircumflex /Otilde /Odieresis /multiply
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 /Udieresis /Yacute /Thorn /germandbls
% 0xE0
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 /egrave /eacute /ecircumflex /edieresis
 /igrave /iacute /icircumflex /idieresis
% 0xF0
 /eth /ntilde /ograve /oacute
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1179 y(allo)n(ws)c(for)f(a)h(great)f(reduction)f(in)i(the)g(number)e
(of)h(v)n(ariables,)h(as)-182 1279 y(well)f(as)g(the)g(accounting)d
(for)i(f)o(actors)g(that)h(are)g(dif)n(\002cult)f(to)g(mea-)-182
1378 y(sure.)g(Expert)19 b(opinion)f(is)j(often)e(dif)n(\002cult)g(to)h
(quantify)e(b)n(ut)h(can)h(be)-182 1478 y(an)g(ef)n(fecti)n(v)o(e)e
(estimating)i(tool,)f(in)h(its)h(o)n(wn)f(right)f(or)h(as)g(an)g
(adjust-)-182 1577 y(ing)f(f)o(actor)h(for)g(algorithmic)e(models)i
([13)n(].)-83 1677 y(This)h(realization)e(has)h(recently)f(prompted)f
(researchers)h(to)h(re-)-182 1777 y(visit)32 b(their)f(approach)e(to)j
(the)f(issue)h(of)f(estimation.)58 b(Since)32 b(the)-182
1876 y(1970s)f(w)o(ork)h(has)h(lar)o(gely)e(been)g(concentrated)g(on)h
(de)n(v)o(eloping)-182 1976 y(algorithmic)c(estimation)i(models,)h
(under)e(the)h(assumption)f(that)-182 2076 y(this)18
b(w)o(ould)g(\(by)g(its)h(v)o(ery)e(nature\))g(result)h(in)h(impro)o(v)
o(ements)c(in)k(es-)-182 2175 y(timation)f(accurac)o(y)-5
b(.)22 b(Whilst)f(some)d(models)h(ha)n(v)o(e)f(indeed)g(pro)o(v)o(ed)
-182 2275 y(to)k(be)g(useful)g(in)g(speci\002c)g(cases,)h(their)f
(general)f(applicability)g(re-)-182 2374 y(mains)j(uncertain.)36
b(In)24 b(a)g(study)g(of)g(the)g(causes)h(of)f(estimation)g(er)n(-)-182
2474 y(ror)g([9)o(])h(found)e(that,)j(whilst)f(subjecti)n(v)o(e)e
(guesses)i(indeed)f(tended)-182 2574 y(to)17 b(result)g(in)g
(inaccurate)e(estimates,)j(accurac)o(y)d(w)o(as)j(not)f(impro)o(v)o(ed)
-182 2673 y(with)30 b(the)g(use)h(of)f(algorithmic)e(models.)54
b(There)30 b(are)g(other)f(rea-)-182 2773 y(sons)23 b(why)g(some)h
(practitioners)e(choose)h(not)g(to)h(use)g(algorithmic)-182
2873 y(models,)18 b(as)i(illustrated)e(by)h(the)f(follo)n(wing)g(quote)
g(tak)o(en)g(from)g(the)-182 2972 y(estimation)h(methodology)e(of)j(a)h
(major)e(softw)o(are)h(house:)25 3112 y(The)15 b(current)g
([estimation])f(methodology)f(is)j(f)o(ar)g(too)25 3212
y(comple)o(x)28 b(and)h(dif)n(\002cult)g(to)h(use.)54
b(This)30 b(is)g(demon-)25 3311 y(strated)e(by)g(the)f(f)o(act)i(that)f
(it)g(is)h(not)f(used.)48 b(In)27 b(f)o(act,)25 3411
y(each)39 b(person)f(undertaking)e(estimation)i(tends)h(to)25
3511 y(utilize)20 b(their)g(o)n(wn)g(heuristic)g(approach.)-182
3650 y(Such)f(sentiments)h(are)g(also)g(partly)f(behind)f(the)i(demand)
e(for)i(sim-)-182 3750 y(pli\002ed)h(v)o(ersions)g(of)h(techniques)f
(such)h(as)g(function)f(point)g(analy-)-182 3850 y(sis,)j(as)f(these)g
(are)g(seen)g(by)f(some)h(to)g(be)f(unnecessarily)g(comple)o(x)-182
3949 y(and/or)f(detailed)h(\(e.g.)31 b(see)23 b([10)n(]\).)32
b(F)o(or)22 b(instance,)h(another)e(major)-182 4049 y(softw)o(are)e
(house)h(states:)25 4189 y(Because)33 b(we)h(can)f(write)g(programs)e
(and)h(de)n(v)o(elop)25 4288 y(systems)i(v)o(ery)e(quickly)f
Fg(:)14 b(:)g(:)48 b Fj(it)34 b(is)g(important)d(that)25
4388 y(an)o(y)16 b(estimating)g(techniques)g(we)h(use)g(are)f(quick)g
(and)25 4488 y(easy)25 b(to)g(apply)-5 b(,)25 b(otherwise)f(we)i(could)
e(end)g(up)h(tak-)25 4587 y(ing)f(as)h(long)f(to)g(estimate)h(as)g(we)g
(tak)o(e)f(to)h(write)f(the)25 4687 y(programs.)-182
4827 y(Sometimes)41 b(the)h(choice)f(of)h(method)e(is)j(imposed)e(\226)
h([5)o(])g(de-)-182 4926 y(scribe)27 b(the)g(situation)g(where)g(an)g
(or)o(ganization)d(mak)o(es)k(a)g(signif-)-182 5026 y(icant)c(change)e
(to)j(its)g(softw)o(are)e(process,)i(rendering)d(algorithmic)-182
5126 y(models)e(de)n(v)o(eloped)e(and)j(calibrated)f(from)g(historical)
g(data)h(virtu-)-182 5225 y(ally)15 b(w)o(orthless.)24
b(Under)14 b(these)i(circumstances)f(e)o(xpert)f(estimation)-182
5325 y(may)19 b(be)h(the)h(only)e(alternati)n(v)o(e.)2073
83 y(As)j(a)g(result)f(we)h(ha)n(v)o(e)e(be)o(gun)g(to)h(see)h(a)g
(resur)o(gence)c(in)k(the)f(use)1974 183 y(of)k(informed)e(subjecti)n
(v)o(e)h(estimation)g(as)i(a)f(realistic)h(alternati)n(v)o(e.)1974
282 y(In)31 b(a)h(comparati)n(v)o(e)d(study)i(of)g(case-based)g
(reasoning,)h(function)1974 382 y(point)d(analysis)h(COCOMO)i([2)o(],)g
(and)e(e)o(xpert)f(estimation,)g([11)o(])1974 482 y(found)17
b(that)h(the)h(e)o(xpert)e(out-performed)e(all)k(the)g(other)f
(techniques)1974 581 y(in)25 b(terms)g(of)g(accurac)o(y)e(and)i
(consistenc)o(y)-5 b(.)38 b(Moreo)o(v)o(er)m(,)23 b(the)i(case-)1974
681 y(based)h(reasoning)f(method,)i(which)f(attempts)h(to)g(mimic)f
(the)h(e)o(x-)1974 780 y(pert)20 b(estimation)g(process,)f(w)o(as)i
(the)g(ne)o(xt)e(best)i(performed.)i(Their)1974 880 y(study)28
b(also)h(reported)e(prior)h(e)n(vidence)g(of)g(the)h(e)o(xtensi)n(v)o
(e)e(use)i(of)1974 980 y(e)o(xpert)19 b(estimation)g(in)i(industry)-5
b(.)23 b(The)d(results)g(of)g(a)g(recent)g(surv)o(e)o(y)1974
1079 y(of)25 b(softw)o(are)h(houses)f(has)h(pro)o(vided)d(further)h(v)o
(eri\002cation)h(of)g(the)1974 1179 y(widespread)g(use)h(of)g(e)o
(xpert)f(judgment)f(as)j(either)f(the)g(only)g(esti-)1974
1279 y(mation)j(method)f(used)h(or)h(as)g(a)g(back-up)d(to)j(other)f
(models)g([3)o(].)1974 1378 y([5)o(])f(pro)o(vide)e(further)g(e)n
(vidence)g(of)i(the)g(ef)n(fecti)n(v)o(eness)e(of)h(e)o(xpert)1974
1478 y(judgment)j(as)i(an)g(estimation)f(method)g(in)h(a)g(small)g(e)o
(xperiment)1974 1577 y(based)h(on)g(the)h(personal)e(softw)o(are)i
(process)f([7)o(].)65 b([6])33 b(also)h(re-)1974 1677
y(ports)17 b(the)i(results)f(of)g(a)g(case)h(study)e(of)h(estimation)f
(practices,)h(ulti-)1974 1777 y(mately)k(suggesting)f(that)h(research)f
(should)g(be)h(directed)g(to)n(w)o(ards)1974 1876 y Fk(supporting)i
Fj(e)o(xpert)h(judgment)f(rather)i(than)f(abandoning)e(it)k(as)g(a)1974
1976 y(viable)20 b(technique.)2073 2102 y(This)27 b(rather)f(pragmatic)
f(approach)g(may)h(be)g(e)n(v)o(en)g(more)g(fea-)1974
2202 y(sible)32 b(if)h(more)e(formally)g(combined)f(with)j(the)f
(\223estimation)g(by)1974 2301 y(analogy\224)19 b(method.)27
b(Experts)21 b(pro)o(vide)e(their)i(estimates)h(based)f(on)1974
2401 y(what)32 b(the)o(y)f(recall)h(of)g(pre)n(vious)f(similar)h(\(or)f
(analogous\))f(mod-)1974 2500 y(ules)21 b(or)f(projects,)h(perhaps)e
(with)i(adjustments)f(to)h(cope)f(with)h(an)o(y)1974
2600 y(dif)n(ferences)c(between)i(the)g(pre)n(viously)e(b)n(uilt)i
(objects)g(and)g(the)g(ob-)1974 2700 y(ject)27 b(to)g(be)g(de)n(v)o
(eloped.)42 b([4)o(])27 b(found)e(that)i(these)g(tw)o(o)g(approaches)
1974 2799 y(were)h(f)o(ar)f(more)g(widely)h(emplo)o(yed)e(in)i
(industry)e(than)i(algorith-)1974 2899 y(mic)18 b(models,)g(a)h
(\002nding)e(also)h(supported)f(by)g([8].)24 b(As)19
b(a)g(result,)f(the)1974 2999 y(analogy)d(approach)f(has)j(also)g(seen)
g(a)g(greater)f(de)o(gree)f(of)h(e)o(xposure)1974 3098
y(recently)j(\(e.g.)24 b(see)d([12)o(]\).)1974 3410 y
Fl(2)99 b(Misestimation)24 b(of)h(eff)n(ort)2073 3705
y Fj(Despite)h(the)f(importance)e(of)i(accurate)f(ef)n(fort)g
(estimates,)j(ac-)1974 3804 y(ceptable)18 b(le)n(v)o(els)i(of)f
(accurac)o(y)e(for)i(ef)n(fort)f(estimation)h(are)g(surpris-)1974
3904 y(ingly)j(lo)n(w)g(with)h(a)f(common)f(measure)h(for)f(a)i
Fk(good)h Fj(model)d(being)1974 4004 y(the)27 b(attainment)f(of)h
(estimates)h(that)f(are)g(within)g(25\045)f(of)h(the)g(ac-)1974
4103 y(tual)f(\002gure)g(at)h(least)g(75\045)f(of)g(the)g(time)h
(\(this)f(can)g(be)g(written)g(as)1974 4203 y Fg(pr)r(ed)p
Fh(\(0)p Fg(:)p Fh(25\))g Ff(\025)g Fh(0)p Fg(:)p Fh(75)p
Fj(\).)k(Whilst)23 b(this)g(le)n(v)o(el)f(of)f(accurac)o(y)g(may)g(not)
1974 4302 y(appear)30 b(ambitious)g(it)i(is)g(seldom)e(met)h(in)g
(practice,)i(or)e(e)n(v)o(en)f(in)1974 4402 y(post-hoc)21
b(academic)i(studies.)33 b(Thus)23 b(it)h(can)f(be)g(seen)g(that)g
(mises-)1974 4502 y(timation)f(is)i(more)e(the)i(norm)d(for)i(softw)o
(are)f(metric)h(models)g(than)1974 4601 y(an)d(occasional)f(and)h
(unfortunate)d(occurrence.)2073 4727 y(It)24 b(might)e(be)h(supposed)f
(that)h(the)g(misestimation)g(of)f(de)n(v)o(elop-)1974
4827 y(ment)g(ef)n(fort)f(required)f(for)i(modules)f(within)h(a)g
(system)h(\(and)e(also)1974 4926 y(for)29 b(systems)h(themselv)o(es)f
(within)h(an)f(or)o(ganization\))d(is)31 b(not)f(en-)1974
5026 y(tirely)d(random)e(when)h(these)h(estimates)g(include)f(subjecti)
n(v)o(e)g(hu-)1974 5126 y(man)d(input.)35 b(Some)23 b(associations,)h
(such)g(as)g(between)f(the)h(proba-)1974 5225 y(bility)f(of)g
(signi\002cant)g(misestimation)g(and)g(the)h(sizes)g(or)f(types)g(of)
1974 5325 y(the)d(modules/systems,)f(may)h(be)g(found)e(to)j(e)o(xist.)
1859 5574 y(2)p eop
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3 2 bop -83 83 a Fj(Further)24 b(e)n(vidence)g(of)g(the)h(plausibility)
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282 y(w)o(are)39 b(houses)g(referred)f(to)i(abo)o(v)o(e:)62
b(\223W)-7 b(e)41 b(still)g(get)e(it)h(wrong.)-182 382
y(W)-7 b(e)30 b(under)e(estimate)h(constantly)-5 b(.)50
b(Not)30 b(so)f(much)f(on)h(the)g(small)-182 482 y(projects,)19
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(of)h(projects)-182 683 y(and)18 b(the)g(lik)o(elihood)f(of)i
(misestimation)f(may)g(e)o(xist)h(due)f(to)h(a)g(lar)o(ge)-182
782 y(number)f(of)i(causes)g(including:)-79 973 y(1.)41
b(changes)27 b(in)i(technology)d(that)i(are)h(not)f(fully)f(understood)
25 1072 y(in)e(terms)g(of)f(their)h(ef)n(fect)f(on)g(ef)n(fort\(such)e
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b(a)18 b(lack)g(of)g(understanding)d(of)i(the)h(module/system)e
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2017 y(the)o(y)20 b(require)e(substantial)i(de)n(v)o(elopment)e(ef)n
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(estimator')-5 b(s)17 b(background,)c(or)-79 2365 y(5.)41
b(an)o(y)21 b(number)e(of)i(other)g(related)f(reasons)h(\(including)e
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(the)h(\223price-to-win\224)d(ap-)25 2564 y(proach,)31
b(whereby)e(a)h(lo)n(w)g(estimate)h(is)g(pro)o(vided)c(simply)25
2664 y(in)e(order)e(to)h(win)h(a)g(contract)e(in)h(a)h(competiti)n(v)o
(e)e(tendering)25 2763 y(situation,)i(is)h(an)e(e)o(xample)g(of)g(ho)n
(w)g(these)h(goals)g(may)f(cir)n(-)25 2863 y(cumv)o(ent)19
b(the)h(estimation)f(process\).)-83 3053 y(In)c(short,)h(the)f(e)o
(xistence)g(of)g(such)g(consistent)f(biases)i(in)g(subjec-)-182
3153 y(ti)n(v)o(e)25 b(\(or)f(partially)h(subjecti)n(v)o(e\))f
(estimates)i(seems)g(plausible)e(and)-182 3253 y(could)h(e)n(v)o(en)f
(be)i(ar)o(gued)e(as)j(being)e(ine)n(vitable)g(with)h(an)o(y)f(estima-)
-182 3352 y(tion)20 b(procedure)d(in)m(v)n(olving)h(such)i(subjecti)n
(vity)-5 b(.)-83 3454 y(The)28 b(question)e(w)o(ould)h(seem)h(to)g(be)g
(less)h(that)f(of)f(whether)g(or)-182 3553 y(not)e(such)h(biases)h(e)o
(xist)f(and)g(more)f(concerned)f(with)j(the)f Fk(signi\002-)-182
3653 y(cance)16 b Fj(of)h(these)h(biases.)24 b(The)17
b(question)f(of)i(signi\002cance)e(is)i(harder)-182 3753
y(to)j(answer)f(since)h(it)g(depends)f(on)g(or)o(ganizational)d
(characteristics)-182 3852 y(\(such)29 b(as)h(a)n(v)n(ailable)f(e)o
(xcess)h(capability)-5 b(,)31 b(project)e(cost)h(mar)o(gins,)-182
3952 y(project)18 b(portfolio)g(construction,)f(and)i(so)g(on\),)g(and)
g(here)f(only)h(the)-182 4052 y(issue)k(of)f(identifying)e
(statistically)j(signi\002cant)f(associations)g(be-)-182
4151 y(tween)31 b(module)f(characteristics)i(and)f(estimation)g
(performance)-182 4251 y(will)21 b(be)f(pursued.)-182
4489 y Fl(3)99 b(Uses)20 b(of)h(models)g(of)f(systematic)h(biases)f(in)
h(eff)n(ort)-33 4605 y(estimation)-83 4827 y Fj(Kno)n(wing)g(the)g
(direction)g(and)g(magnitude)f(of)i(an)o(y)f(systematic)-182
4926 y(biasing)26 b(ef)n(fect)h(could)f(be)i(seen)f(as)h(signi\002cant)
f(to)g(project)g(man-)-182 5026 y(agement)j(for)h(at)i(least)f(three)g
(reasons.)59 b(First,)35 b(since)d(much)f(ef-)-182 5126
y(fort)18 b(estimation)g(is)h(performed)d(using)i(e)o(xpert)f(opinion)g
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h(an)o(y)g(information)e(that)i(enables)-182 5325 y(bias)i(correction)f
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83 y(project)k(management)f(purposes.)58 b(Errors)31
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y(agers)f(that)h(the)o(y)f(are)h(making)e(such)h(errors)g(or)g(by)h
(automatically)1974 382 y(correcting)14 b(estimates)j(in)g(such)f
(circumstances.)23 b(A)17 b(manager)e(who)1974 482 y
Fk(consistently)21 b Fj(underestimates)g(the)h(ef)n(fort)f(required)f
(for)i(database)1974 581 y(modules,)27 b(and)g(underestimates)e(the)i
(ef)n(fort)f(for)h(lar)o(ger)e(modules)1974 681 y(is)19
b(just)f(as)h(v)n(aluable)e(in)h(project)f(management)f(as)j(an)f
(equally)f(con-)1974 780 y(sistent)g(correct)f(estimator)g(pro)o
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(kno)n(wn.)23 b(In)18 b(some)f(sense)i(such)f(adjustments)f(may)h(also)
1974 980 y(be)27 b(technology)f(independent,)g(or)i(at)g(least)g(more)f
(so)h(than)f(algo-)1974 1079 y(rithmic)18 b(estimating)h(models)f
(themselv)o(es.)24 b(This)19 b(w)o(ould)g(possibly)1974
1179 y(enable)27 b(their)g(use)h(for)f(corrections)f(on)i(ne)n(w)f
(forms)g(of)g(de)n(v)o(elop-)1974 1279 y(ment)20 b(where)f(less)j
(empirical)d(data)h(is)h(a)n(v)n(ailable.)2073 1379 y(Second,)h(an)o(y)
g(such)g(associations)h(w)o(ould)f(indicate)g(that)g(mod-)1974
1479 y(els)d(that)g(treat)g(the)f(dif)n(ference)f(between)h(estimates)h
(and)f(actual)g(ef-)1974 1578 y(fort)h(as)h(independent)d(and)j
(identically)e(distrib)n(uted)h(random)f(v)n(ari-)1974
1678 y(ables)i(w)o(ould)g(be)g(\003a)o(wed.)2073 1779
y(The)34 b(third)f(reason)h(for)f(such)h(models)f(being)g(useful)g(is)i
(that)1974 1878 y(kno)n(wing)15 b(which)i(types)g(of)f(modules)g(or)h
(systems)h(are)f(more)f(lik)o(ely)1974 1978 y(to)31 b(be)h
(misestimated)f(allo)n(ws)g(project)g(managers)f(to)h(assess)i(the)1974
2078 y(risk)28 b(of)g(estimates.)48 b(F)o(or)28 b(e)o(xample,)g(for)f
(modules)g(that)h(are)g(high)1974 2177 y(risk)i(for)g(underestimating)e
(it)j(may)f(be)g(necessary)g(to)g(allo)n(w)h(for)1974
2277 y(more)18 b(slack)i(in)f(the)h(process.)k(There)18
b(has)i(been)e(little)j(w)o(ork)d(on)h(the)1974 2377
y(risk)25 b(of)g(softw)o(are)f(metric)h(models)g(and)f(this)i(could)e
(be)h(seen)g(as)h(a)1974 2476 y(useful)20 b(foundation)d(for)j(such)f
(w)o(ork)h(to)g(be)g(b)n(uilt)h(on.)1974 2712 y Fl(4)99
b(Health)25 b(pr)n(oject)h(data)2073 2931 y Fj(In)31
b(order)f(to)h(e)o(xamine)f(the)h(possibility)f(and)h(nature)f(of)g
(such)1974 3030 y(misestimation)j(patterns)g(a)h(data)g(set)h(of)e(77)g
(observ)n(ations)f(w)o(as)1974 3130 y(formed)c(from)g(a)i(lar)o(ge)f
(health)g(system)g(data)h(set.)53 b(The)29 b(original)1974
3230 y(data)h(set)i(contained)d(85)h(modules)g(for)g(which)g(all)h
(module)e(data)1974 3329 y(w)o(as)k(a)n(v)n(ailable,)h(less)f(three)e
(without)g(ef)n(fort)g(estimates)h(and)g(an-)1974 3429
y(other)19 b(\002)n(v)o(e)h(which)f(included)g(both)g(reports)g(and)g
(screens)h(\(without)1974 3529 y(pro)o(viding)g(separate)i(ef)n(fort)g
(measures)g(or)h(estimates\).)32 b(The)23 b(v)n(ari-)1974
3628 y(ables)29 b(and)f(their)g(associated)g(codings)g(sho)n(wn)f(in)i
(T)-7 b(able)29 b(1)f(were)1974 3728 y(used.)2073 3828
y(As)20 b(can)e(be)h(seen)f(the)h Fk(Modi\002es)p Fj(,)f
Fk(T)-6 b(ype)p Fj(,)18 b Fk(Entry)p Fj(,)h(and)f Fk(Links)h
Fj(v)n(ari-)1974 3928 y(ables)25 b(are)g(all)g(binary)-5
b(,)24 b(and)g(there)h(are)g(three)f(le)n(v)o(els)h(for)f
Fk(Estimate)1974 4028 y Fj(and)18 b Fk(Size)p Fj(.)25
b(If)18 b Fk(Estimate)h Fj(is)g(treated)f(as)i(the)e(response)g(v)n
(ariable)g(then)1974 4127 y(there)i(are)g(48)f(le)n(v)o(els)i(in)f(the)
g(independent)e(v)n(ariables.)2073 4228 y(This)31 b(data)g(can)f(be)g
(analyzed)f(in)i(terms)g(of)f(counts)g(for)g(each)1974
4328 y(le)n(v)o(el)20 b(of)g(each)g(v)n(ariable.)k(Since)d(there)f(are)
g(six)h(v)n(ariables)e(it)i(is)h(dif-)1974 4427 y(\002cult)e(to)h
(meaningfully)c(illustrate)j(the)g(frequencies)f(so)h(that)h(rela-)1974
4527 y(tionships)g(can)h(be)h(noted)e(for)g(further)g(in)m(v)o
(estigation,)f(and)i(also)g(to)1974 4627 y(check)d(that)h(the)h(cells)g
(ha)n(v)o(e)e(a)i(reasonable)e(count.)2073 4727 y(T)-7
b(ables)21 b(of)f(counts)f(for)g(each)h(v)n(ariable)f(can)h(be)g
(constructed)e(in-)1974 4827 y(di)n(vidually)-5 b(.)49
b(All)30 b(v)n(ariables)e(sho)n(w)h(a)h(reasonable)d(split)j(between)
1974 4926 y(classes,)36 b(with)c(only)g Fk(Entry)g Fj(class)h(0)g(ha)n
(ving)e(a)i(proportion)c(less)1974 5026 y(than)c(25\045,)i(in)g(this)f
(case)h(13\045.)42 b(All)27 b(other)e(classes)i(for)e(all)i(v)n(ari-)
1974 5126 y(ables)22 b(contain)f(at)h(least)h(25\045)f(of)f(the)h
(observ)n(ations)f(for)g(that)h(v)n(ari-)1974 5225 y(able,)i(which)f
(seems)h(adequate)f(for)g(the)g(purposes)g(of)g(this)h(analy-)1974
5325 y(sis.)1859 5574 y(3)p eop
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1587 a(3)p 982 1617 V 233 w(The)g(top)g(one-third)e(of)i(the)g(modules)
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1621 3132 4 v 1198 1771 a Fe(T)-7 b(ab)o(le)23 b(1.)g(The)g(v)n(ariab)o
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3211 2522 V 547 2526 2666 4 v 826 2676 a Fe(T)-7 b(ab)o(le)24
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(associations)g(with)-182 3922 y(the)20 b(three)g(le)n(v)o(els)g(of)g
Fk(Estimate)p Fj(.)-182 4138 y Fl(5)99 b(Contingency)26
b(table)f(analysis)-182 4337 y Fd(5.1)90 b(Intr)n(oduction)-83
4528 y Fj(Contingenc)o(y)20 b(table)i(analysis)h(is)g(suited)f(to)g
(analyzing)f(the)h(in-)-182 4628 y(dependence)27 b(or)i(otherwise)g(of)
h(the)f(relationships)g(between)g(the)-182 4727 y(v)n(ariables)24
b(in)i(terms)g(of)f(the)h(counts)f(in)h(each)f(cell.)41
b(If)26 b(the)g(counts)-182 4827 y(follo)n(w)20 b(the)h(mar)o(ginal)f
(e)o(xpectations)f(then)i(independence)d(can)j(be)-182
4926 y(concluded.)40 b(Otherwise,)27 b(an)f(association)f(e)o(xists)h
(and)g(will)h(need)-182 5026 y(to)20 b(be)g(further)f(in)m(v)o
(estigated.)1974 3025 y Fd(5.2)90 b(Analysis)2073 3233
y Fj(There)25 b(are)g(associations)f(among)g(the)h(predictor)e(v)n
(ariables)h(as)1974 3332 y(sho)n(wn)i(in)i(T)-7 b(able)27
b(2)h(where)e(the)i Fg(\037)3001 3302 y Fc(2)3066 3332
y Fj(statistics)h(and)d(their)h(signi\002-)1974 3432
y(cance)g(le)n(v)o(els)g(are)g(reported.)44 b(The)27
b(signi\002cant)f(associations)h(are)1974 3532 y(between)18
b Fk(Size)i Fj(and)f Fk(Links)p Fj(,)h Fk(T)-6 b(ype)19
b Fj(and)g Fk(Links)p Fj(,)h Fk(T)-6 b(ype)19 b Fj(and)g
Fk(Modi\002es)p Fj(,)1974 3631 y(and)g Fk(T)-6 b(ype)20
b Fj(and)g Fk(Size)p Fj(.)2073 3731 y(When)h(analyzing)e(the)i(data)g
(using)f Fg(\037)3173 3701 y Fc(2)3210 3731 y Fj(,)i(Phi,)f(Cramer')-5
b(s)20 b(V)-11 b(,)22 b(and)1974 3831 y(the)17 b(Contingenc)o(y)d(Coef)
n(\002cient)j(to)g(test)h(for)e(associations)h(between)1974
3930 y(each)24 b(v)n(ariable)e(\(e)o(xcept)h Fk(Estimate)p
Fj(\))h(and)f Fk(Estimate)i Fj(the)f(results)g(in)1974
4030 y(T)-7 b(able)27 b(3)h(were)f(found.)45 b(The)27
b(crosstabs)g(are)g(sho)n(wn)g(in)g(T)-7 b(ables)28 b(4)1974
4129 y(to)20 b(8.)2073 4229 y(From)h(T)-7 b(able)21 b(3)g(it)h(can)f
(be)g(seen)g(that)g(the)g(v)n(alue)f(of)h Fk(Estimate)g
Fj(is)1974 4329 y(associated)d(with)h Fk(Size)p Fj(,)g
Fk(T)-6 b(ype)p Fj(,)18 b(and)g Fk(Links)p Fj(.)25 b(There)17
b(is)j(also)f(a)f(poten-)1974 4428 y(tial)27 b(relationship)e(with)h
Fk(Modi\002es)p Fj(.)43 b Fk(Entry)27 b Fj(does)f(not)g(seem)h(to)f(be)
1974 4528 y(associated)d(with)h(the)g(de)n(v)o(elopment)c(ef)n(fort)j
(estimate.)35 b(Ho)n(we)n(v)o(er)m(,)1974 4628 y(it)20
b(should)f(be)h(remembered)d(that)j(these)g(v)n(ariables)f(are)h
(intercorre-)1974 4727 y(lated,)e(with,)h(for)e(e)o(xample,)g(smaller)h
(modules)g(being)f(more)g(lik)o(ely)1974 4827 y(to)j(contain)e(no)h
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o(x-)1974 4926 y(ist)j(suggests)g(that)g(not)f(all)h(v)n(ariables)f
(may)g(be)g(needed)f(in)i(a)g(model)1974 5026 y(for)e
Fk(Estimate)p Fj(.)1859 5574 y(4)p eop
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5 4 bop -144 124 1892 4 v -146 224 4 100 v -94 194 a
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2712 y Fl(6)99 b(Logistic)25 b(r)n(egr)n(ession)-182
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b(In)23 b(the)g(absence)f(of)h(an)o(y)f(guidelines)g(here)h(the)-182
4428 y(def)o(ault)c(v)n(alue)h(of)f(0.5)h(is)h(used.)-83
4528 y(When)46 b(de)n(v)o(eloping)d(the)j(logistic)f(re)o(gression)g
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(signi\002cant)g(for)g(further)f(in)m(v)o(estigation.)53
b(Assum-)-182 4926 y(ing)23 b(that)h(tw)o(o)g(v)n(ariables)f(were)g
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5026 y(these)18 b(v)n(ariables)f(were)g(then)h(used)f(indi)n(vidually)
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(best)f(indicated)f(by)g(the)h(f)o(act)g(that)g(the)g(dif-)1974
282 y(ference)i(in)i(de)n(viance)f(w)o(ould)g(be)g(insigni\002cant)g(e)
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(the)h(analysis)g(ended)f(there)g(and)g(the)1974 482
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1306 y Fk(Estimate)j Fj(as)g(the)f(dependent)e(v)n(ariable)2078
1532 y(2.)40 b(select)17 b(all)g(v)n(ariables)e(that)h(ha)n(v)o(e)f
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b(de)n(v)o(elop)19 b(models)g(using)2230 2310 y(\(a\))41
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%%Page: 7 7
7 6 bop 29 3 3703 4 v 27 103 4 100 v 79 73 a Fj(Model)p
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a Fe(T)-7 b(ab)o(le)24 b(12.)f(The)g(c)n(lassi\002cation)g(tab)o(le)g
(f)n(or)g(the)g(underestimates)g(model)-182 2814 y Fd(6.2)90
b(Model)22 b(1)h(\226)f(under)n(estimates)-83 3011 y
Fj(The)k(\002rst)i(model)d(for)h(predicting)f(underestimates)g
(produced)-182 3111 y(the)c(results)h(sho)n(wn)f(in)g(T)-7
b(able)22 b(10.)28 b(From)21 b(this)h(table)g(it)g(is)g(possible)-182
3211 y(to)j(construct)f(T)-7 b(able)25 b(11)g(which)g(sho)n(ws)g(the)g
(change)f(in)h(de)n(viance)-182 3310 y(for)19 b(each)h(term.)-83
3410 y(From)f(T)-7 b(ables)19 b(10)f(and)h(11)f(it)i(can)f(be)g(seen)g
(that)g(the)g(best)g(model)-182 3509 y(is)30 b Fk(Size)f
Fj(and)f Fk(T)-6 b(ype)p Fj(.)52 b(Adding)27 b Fk(Size)j
Fj(to)f Fk(T)-6 b(ype)29 b Fj(is)h(certainly)e(signif-)-182
3609 y(icant)e(and)f(adding)g(the)i(v)n(ariables)e(in)h(the)h(re)n(v)o
(erse)e(order)g(still)i(re-)-182 3709 y(sults)17 b(in)g(a)g(p-v)n(alue)
f(of)g(0.0530)f(for)h Fk(T)-6 b(ype)p Fj(.)23 b(This)17
b(is)h(close)f(enough)e(to)-182 3808 y(use,)25 b(especially)e(since)i
(AIC)f(is)h(also)g(minimized)e(for)g(this)i(model)-182
3908 y(\(77.641\).)52 b(Adding)29 b(an)i(interaction)e(to)h(this)h
(model,)h(or)e(the)g(re-)-182 4008 y(maining)25 b(three)h(v)n(ariables)
g(does)h(not)f(impro)o(v)o(e)f(the)h(model)g(suf)n(\002-)-182
4107 y(ciently)-5 b(.)23 b(The)c(performance)d(of)i(the)h(model)f(is)i
(sho)n(wn)e(in)h(T)-7 b(able)19 b(12)-182 4207 y(with)h(a)h(cut-of)n(f)
d(point)i(of)g(0.5.)-148 4442 y Fi(lo)l(git)8 b Fh(\()p
Fi(Under)h Fh(\))24 b(=)f Ff(\000)p Fh(0)p Fg(:)p Fh(4989)15
b(+)j(1)p Fg(:)p Fh(3093)p Fi(T)-6 b(yp)l(e)23 b Ff(\000)18
b Fh(4)p Fg(:)p Fh(2847)p Fi(Size1)732 4567 y Ff(\000)g
Fh(1)p Fg(:)p Fh(4696)p Fi(Size2)1690 4675 y Fj(\(1\))-83
4827 y(The)h(model)g(is)h(therefore)d(as)j(sho)n(wn)f(in)g(Equation)f
(1.)25 b(This)19 b(can)-182 4926 y(be)30 b(interpreted)f(as)j(meaning)d
(that)i(for)g(a)g(lar)o(ge)f(\()p Fk(Size3)p Fj(\))g(screen-)-182
5026 y(based)c(module)f(the)h(probability)f(of)h(the)h(estimate)g
(being)e(an)i(un-)-182 5126 y(derestimate)34 b(is)j(about)d(69\045)i
(\(note)e(that)i(screens)g(are)f Fk(T)-6 b(ype)p Fj(=1,)-182
5225 y(and)31 b(reports)f(are)i Fk(T)-6 b(ype)p Fj(=2\).)58
b(F)o(or)31 b(a)h(report)f(the)h(probability)d(in-)-182
5325 y(creases)20 b(\(to)f(89\045\),)g(while)h(for)g(smaller)f(modules)
g(the)h(probability)1974 2814 y(decreases)i(\(to)h(3\045)g(and)f
(34\045)h(respecti)n(v)o(ely)e(for)h Fk(Size1)h Fj(and)f
Fk(Size2)1974 2914 y Fj(screens,)e(and)f(10\045)h(and)g(66\045)g(for)f
Fk(Size1)h Fj(and)g Fk(Size2)g Fj(reports\).)2073 3014
y(Thus)29 b(it)g(can)g(be)g(seen)f(that)h(the)g(size)h(and)e(type)g(of)
h(the)f(mod-)1974 3113 y(ule)k(do)g(appear)f(to)h(share)g(an)g
(association)g(with)g(the)g(quality)f(of)1974 3213 y(the)18
b(estimate)h(in)g(terms)g(of)f(project)g(management)e(making)i(under)n
(-)1974 3313 y(estimates.)43 b(More)26 b(speci\002cally)-5
b(,)26 b(reports)g(are)g(more)f(lik)o(ely)h(to)g(be)1974
3412 y(underestimated)18 b(as)j(are)f(lar)o(ger)f(modules.)1974
3621 y Fd(6.3)90 b(Model)23 b(2)f(\226)h(err)n(ors)2073
3830 y Fj(The)k(second)f(logistic)i(re)o(gression)d(model)h(for)h
(predicting)e(er)n(-)1974 3930 y(rors)k(in)h(estimates)h(produced)c
(the)j(results)g(sho)n(wn)f(in)h(T)-7 b(able)30 b(13.)1974
4029 y(Using)e(these)g(results)g(T)-7 b(able)28 b(14)g(can)g(be)g
(obtained)e(sho)n(wing)h(the)1974 4129 y(change)j(in)h(de)n(viance)f
(for)h(each)g(term.)58 b(The)31 b(lack)g(of)g(data)g(pre-)1974
4229 y(v)o(ented)15 b(the)i(de)n(v)o(elopment)d(of)i(a)h(model)f
(including)f(the)i(interaction)1974 4328 y(between)27
b Fk(Links)i Fj(and)f Fk(Size)g Fj(e)n(v)o(en)g(if)g
Fk(Size)h Fj(w)o(as)g(considered)d(suf)n(\002-)1974 4428
y(ciently)k(signi\002cant)h(to)g(w)o(arrant)f(further)f(in)m(v)o
(estigation.)55 b(There)1974 4528 y(are)20 b(zero)g(links)g(to)g(other)
g(tables)g(only)f(for)h(small)h(modules.)2073 4628 y(From)e(T)-7
b(ables)19 b(13)g(and)f(14)h(it)g(can)g(be)g(seen)g(that)g(the)g(best)g
(model)1974 4727 y(is)k Fk(Links)p Fj(.)33 b(This)22
b(does)h(not)f(quite)g(minimize)g(AIC)h(\(88.634)d(v)o(ersus)1974
4827 y(88.475)k(for)i(both)g Fk(Size)h Fj(and)f Fk(Links)p
Fj(\))g(b)n(ut)h(is)g(v)o(ery)e(close.)45 b(Adding)1974
4926 y(other)25 b(v)n(ariables)h(to)g Fk(Links)h Fj(does)f(not)g(impro)
o(v)o(e)e(the)i(model)f(suf)n(\002-)1974 5026 y(ciently)-5
b(.)24 b(The)18 b(performance)e(of)j(the)g(model)f(is)h(sho)n(wn)g(in)g
(T)-7 b(able)19 b(15)1974 5126 y(with)k(a)g(cut-of)n(f)f(point)g(of)h
(0.5.)32 b(Since)23 b(the)g(model)g(only)f(produced)1974
5225 y(tw)o(o)27 b(v)n(alues)g(\(0.6897)e(and)i(0.8947\))e(taking)h(an)
o(y)g(v)n(alue)h(between)1974 5325 y(these)20 b(tw)o(o)h(results)f(in)h
(the)f(performance)d(sho)n(wn)i(in)i(T)-7 b(able)20 b(16)1859
5574 y(7)p eop
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8 7 bop 70 3 3620 4 v 68 103 4 100 v 120 73 a Fj(Model)p
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914 2580 4 v 588 1013 4 100 v 640 983 a Fj(T)-6 b(erm)p
1968 1013 V 1204 w(De)n(viance)19 b(Change)p 2653 1013
V 98 w(df)p 2822 1013 V 99 w(p-v)n(alue)p 3168 1013 V
590 1017 2580 4 v 588 1116 4 100 v 640 1086 a(Size)p
1968 1116 V 1635 w(1.991)p 2653 1116 V 125 w(2)p 2822
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w(4.159)p 2653 1315 V 125 w(2)p 2822 1315 V 118 w(0.1250)p
3168 1315 V 588 1415 V 640 1385 a(Links)f Ff(j)h Fj(Size)p
1968 1415 V 1381 w(5.743)p 2653 1415 V 125 w(1)p 2822
1415 V 118 w(0.0166)p 3168 1415 V 588 1515 V 640 1485
a(Entry)-5 b(,)19 b(T)-7 b(ype,)19 b(Modi\002es)h Ff(j)h
Fj(Size)g(and)e(Links)p 1968 1515 V 498 w(0.357)p 2653
1515 V 125 w(3)p 2822 1515 V 159 w(0.949)p 3168 1515
V 590 1518 2580 4 v -83 1670 a Fe(T)-7 b(ab)o(le)16 b(14.)g(The)f(anal)
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798 1824 2164 4 v 796 1924 4 100 v 1276 1924 V 1327 1894
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1276 2126 V 433 w(0)p 1751 2126 V 392 w(57)p 2227 2126
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798 2419 V 796 2519 4 100 v 1276 2519 V 1327 2489 a Fj(Predicted)c(0)p
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3836 y(links)c(this)g(drops)f(to)h(69\045.)42 b(Thus)25
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4630 y Fd(6.4)90 b(Model)22 b(3)h(\226)f(o)o(v)o(er)n(estimates)-83
4827 y Fj(The)k(third)f(logistic)i(re)o(gression)d(model)i(for)f
(predicting)f(o)o(v)o(er)n(-)-182 4926 y(estimates)g(in)g(ef)n(fort)f
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y(de)n(viance)e(for)i(each)g(term.)-83 5225 y(From)f(T)-7
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Fj(,)27 b(and)e Fk(Entry)p Fj(.)43 b(The)25 b(addition)g(of)h
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3828 y Fi(lo)l(git)8 b Fh(\()p Fi(Over)h Fh(\))24 b(=)e
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1158 a Fe(T)-7 b(ab)o(le)23 b(17.)h(The)f(logistic)f(regression)i
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1312 2601 4 v 578 1412 4 100 v 630 1382 a Fj(T)-6 b(erm)p
1978 1412 V 1224 w(De)n(viance)20 b(Change)p 2663 1412
V 98 w(df)p 2832 1412 V 99 w(p-v)n(alue)p 3179 1412 V
580 1415 2601 4 v 578 1515 4 100 v 630 1485 a(Size)p
1978 1515 V 1614 w(30.698)p 2663 1515 V 124 w(2)p 2832
1515 V 118 w(0.0000)p 3179 1515 V 578 1614 V 630 1584
a(T)-7 b(ype)p 1978 1614 V 1592 w(10.565)p 2663 1614
V 124 w(1)p 2832 1614 V 118 w(0.0012)p 3179 1614 V 578
1714 V 630 1684 a(Size)20 b Ff(j)h Fj(T)-7 b(ype)p 1978
1714 V 1385 w(27.745)p 2663 1714 V 124 w(2)p 2832 1714
V 118 w(0.0000)p 3179 1714 V 578 1814 V 630 1784 a(T)g(ype)19
b Ff(j)i Fj(Size)p 1978 1814 V 1427 w(7.612)p 2663 1814
V 125 w(1)p 2832 1814 V 118 w(0.0058)p 3179 1814 V 578
1913 V 630 1883 a(Interaction\(Size,)c(T)-7 b(ype\))p
Ff(j)p Fj(Size)20 b(and)f(T)-7 b(ype)p 1978 1913 V 543
w(0.895)p 2663 1913 V 125 w(2)p 2832 1913 V 118 w(0.6392)p
3179 1913 V 578 2013 V 630 1983 a(Entry)19 b Ff(j)i Fj(Size)f(and)g(T)
-7 b(ype)p 1978 2013 V 1080 w(5.076)p 2663 2013 V 125
w(1)p 2832 2013 V 118 w(0.0243)p 3179 2013 V 578 2112
V 630 2083 a(Links)20 b Ff(j)g Fj(Size)h(and)f(T)-7 b(ype)p
1978 2112 V 1075 w(4.651)p 2663 2112 V 125 w(1)p 2832
2112 V 118 w(0.0310)p 3179 2112 V 578 2212 V 630 2182
a(Modi\002es)20 b Ff(j)g Fj(Size)h(and)f(T)-7 b(ype)p
1978 2212 V 969 w(0.000)p 2663 2212 V 125 w(1)p 2832
2212 V 118 w(1.0000)p 3179 2212 V 578 2312 V 630 2282
a(Links,)19 b(Modi\002es)h Ff(j)h Fj(Size,)g(Entry)-5
b(,)18 b(and)i(T)-7 b(ype)p 1978 2312 V 497 w(1.335)p
2663 2312 V 125 w(2)p 2832 2312 V 118 w(0.5130)p 3179
2312 V 580 2315 2601 4 v -48 2467 a Fe(T)g(ab)o(le)24
b(18.)f(The)g(anal)o(ysis)g(of)g(de)o(viance)g(f)n(or)g(the)g(logistic)
f(regression)i(models)f(f)n(or)g(identifying)e(o)n(verestimates)p
798 2621 2164 4 v 796 2721 4 100 v 1276 2721 V 1327 2691
a Fj(Predicted)e(0)p 1751 2721 V 100 w(Predicted)g(1)p
2227 2721 V 99 w(Percentage)g(Correct)p 2960 2721 V 798
2724 2164 4 v 796 2824 4 100 v 848 2794 a(Observ)o(ed)g(0)p
1276 2824 V 392 w(38)p 1751 2824 V 391 w(14)p 2227 2824
V 546 w(73.08)p 2960 2824 V 796 2923 V 848 2893 a(Observ)o(ed)g(1)p
1276 2923 V 433 w(3)p 1751 2923 V 392 w(22)p 2227 2923
V 546 w(88.00)p 2960 2923 V 798 2927 2164 4 v 676 3078
a Fe(T)-7 b(ab)o(le)23 b(19.)h(The)e(c)n(lassi\002cation)i(tab)o(le)f
(f)n(or)g(the)f(o)n(verestimates)i(model)-182 3412 y
Fd(6.5)90 b(Conclusions)21 b(fr)n(om)i(logistic)g(r)n(egr)n(ession)-83
3703 y Fj(From)32 b(the)g(abo)o(v)o(e)f(three)h(analyses)g(it)h
(appears)e(that)h(the)h(tw)o(o)-182 3803 y(main)16 b(f)o(actors)h(that)
g(are)g(associated)f(with)h(errors)f(in)i(estimation)e(are)-182
3902 y(the)21 b(size)h(and)f(type)f(of)h(the)h(module.)27
b(The)21 b(e)o(xistence)f(of)h(links)g(and)-182 4002
y(data)28 b(entry)h(capability)f(also)h(in\003uence)f(the)h(estimate)g
(accurac)o(y)-5 b(.)-182 4102 y(The)32 b(analysis)h(for)f(errors)g(is)i
(less)g(signi\002cant)f(than)f(for)g(under)n(-)-182 4201
y(and)e(o)o(v)o(erestimates)g(since)h(the)g(point)f(of)h(the)g
(analysis)g(is)h(to)f(be)-182 4301 y(able)18 b(to)h(mak)o(e)f(such)h
(directional)e(predictions.)23 b(Ho)n(we)n(v)o(er)m(,)17
b(it)i(is)h(in-)-182 4401 y(teresting)26 b(that)i(only)e
Fk(Links)h Fj(w)o(as)h(required)e(for)g(modeling)g(errors)-182
4500 y(in)d(prediction.)34 b(This,)25 b(along)e(with)h(the)f(emer)o
(gence)f(of)h(the)h Fk(Entry)-182 4600 y Fj(v)n(ariable)i(for)h(o)o(v)o
(erestimates,)g(suggests)g(the)h(models)f(for)f(under)n(-)-182
4699 y(and)19 b(o)o(v)o(erestimation)f(are)i(not)g(entirely)f
(symmetrical.)-83 4827 y(There)g(is)h(de\002nite)e(e)n(vidence)g(that)h
(the)h(type)e(of)h(the)g(module)f(af-)-182 4926 y(fects)29
b(the)f(probability)-5 b(,)29 b(which)f(is)h(an)g(interesting)f
(\002nding.)49 b(The)-182 5026 y(other)19 b(conclusion)g(that)i(size)g
(af)n(fects)f(estimate)h(accurac)o(y)e(is)j(more)-182
5126 y(predictable)29 b(since)i(small)h(modules)e(will)h(generally)f
(be)h(correct)-182 5225 y(or)d(o)o(v)o(erestimated,)h(while)f(lar)o(ge)
g(modules)g(will)h(more)f(often)g(be)-182 5325 y(underestimated.)1974
3412 y Fl(7)99 b(Log-linear)26 b(analysis)1974 3625 y
Fd(7.1)90 b(Intr)n(oduction)2073 3831 y Fj(After)23 b(the)g(contingenc)
o(y)e(table)i(analysis)g(and)f(logistic)h(re)o(gres-)1974
3930 y(sion)18 b(models,)f(three)g(v)n(ariables)g(were)h(selected)g
(for)f(further)f(analy-)1974 4030 y(sis.)26 b(These)20
b(are)g Fk(Size)p Fj(,)h Fk(T)-6 b(ype)p Fj(,)19 b(and)h
Fk(Estimate)p Fj(.)25 b(The)20 b(purpose)f(of)h(this)1974
4129 y(analysis)25 b(using)g(log-linear)e(modeling)g(is)j(to)g(in)m(v)o
(estigate)d(associ-)1974 4229 y(ations)28 b(between)g
Fk(Estimate)h Fj(and)f(le)n(v)o(els)g(of)h(the)f(other)g(v)n(ariables.)
1974 4329 y(The)d(adv)n(antage)e(of)i(log-linear)f(modeling)f(o)o(v)o
(er)h(logistic)h(re)o(gres-)1974 4428 y(sion)32 b(is)h(that)f(here)f
(an)o(y)g(number)f(of)i(output)f(cate)o(gories)f(can)i(be)1974
4528 y(used.)2073 4628 y(While)23 b Fk(Entry)f Fj(and)g
Fk(Links)g Fj(were)g(also)h(found)d(to)j(be)f(signi\002cant)1974
4727 y(in)h(the)h(logistic)f(re)o(gression)f(section,)i(the)o(y)e(ha)n
(v)o(e)h(been)f(discarded)1974 4827 y(here)30 b(for)g(three)h(reasons)f
(each.)56 b(First,)34 b(common)29 b(to)i(both)f(v)n(ari-)1974
4926 y(ables,)j(there)d(is)i(a)f(desire)g(for)f(simplicity)g(in)h(this)
g(analysis)g(that)1974 5026 y(is)24 b(greatly)e(aided)g(by)h
(restricting)f(the)h(analysis)g(to)g(just)h(these)f(tw)o(o)1974
5126 y(v)n(ariables.)k(P)o(arsimon)o(y)19 b(is)j(a)g(useful)e(goal)h
(to)g(k)o(eep)g(in)g(mind)g(when)1974 5225 y(de)n(v)o(eloping)c(models)
i(that)h(must)g(be)g(interpreted)f(and)g(relied)h(upon)1974
5325 y(by)g(managers)f(who)g(are)h(not)g(quali\002ed)g(statisticians.)
1859 5574 y(9)p eop
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10 9 bop 724 3 2313 4 v 722 103 4 100 v 1113 103 V 1861
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272 a(T)-7 b(ype)387 b(T)-7 b(ype)387 b(T)-7 b(ype)p
3035 302 V 722 402 V 1113 402 V 1237 372 a(1)223 b(2)h(1)244
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2313 4 v 722 505 4 100 v 774 475 a(Estimate)p 1113 505
V 1399 505 V 1644 505 V 1930 505 V 2217 505 V 2503 505
V 2748 505 V 3035 505 V 722 604 V 885 575 a(-1)p 1113
604 V 230 w(0.00)p 1399 604 V 118 w(1.00)p 1644 604 V
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3035 907 V 724 910 2313 4 v 756 1062 a Fe(T)g(ab)o(le)23
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Fk(T)-6 b(ype)p Fe(,)22 b Fk(Estimate)h Fe(v)n(ariab)o(les)p
511 1216 2739 4 v 509 1315 4 100 v 899 1315 V 1772 1286
a Fj(Size)p 3248 1315 V 509 1415 V 899 1415 V 1194 1385
a(1)587 b(2)f(3)p 3248 1415 V 509 1515 V 899 1515 V 1133
1485 a(T)-7 b(ype)463 b(T)-7 b(ype)463 b(T)-7 b(ype)p
3248 1515 V 509 1614 V 899 1614 V 1037 1584 a(1)272 b(2)g(1)h(2)f(1)g
(2)185 b(Percentage)p 3248 1614 V 511 1618 2739 4 v 509
1717 4 100 v 561 1687 a(Estimate)p 899 1717 V 1213 1717
V 1528 1717 V 1842 1717 V 2156 1717 V 2470 1717 V 2784
1717 V 3248 1717 V 509 1817 V 671 1787 a(-1)p 899 1817
V 231 w(0.0\045)p 1213 1817 V 119 w(33.3\045)p 1528 1817
V 98 w(35.7\045)p 1842 1817 V 98 w(63.6\045)p 2156 1817
V 98 w(71.4\045)p 2470 1817 V 98 w(80.0\045)p 2784 1817
V 173 w(41.6\045)p 3248 1817 V 509 1917 V 685 1887 a(0)p
899 1917 V 224 w(21.7\045)p 1213 1917 V 98 w(33.3\045)p
1528 1917 V 98 w(35.7\045)p 1842 1917 V 98 w(36.4\045)p
2156 1917 V 98 w(19.0\045)p 2470 1917 V 98 w(20.0\045)p
2784 1917 V 173 w(26.0\045)p 3248 1917 V 509 2016 V 685
1986 a(1)p 899 2016 V 224 w(78.3\045)p 1213 2016 V 98
w(33.3\045)p 1528 2016 V 98 w(28.6\045)p 1842 2016 V
119 w(0.0\045)p 2156 2016 V 140 w(9.5\045)p 2470 2016
V 140 w(0.0\045)p 2784 2016 V 194 w(32.5\045)p 3248 2016
V 511 2020 2739 4 v 509 2119 4 100 v 622 2089 a(T)-7
b(otal)p 899 2119 V 160 w(29.9\045)p 1213 2119 V 119
w(3.9\045)p 1528 2119 V 119 w(18.2\045)p 1842 2119 V
98 w(14.3\045)p 2156 2119 V 98 w(27.3\045)p 2470 2119
V 119 w(6.5\045)p 2784 2119 V 173 w(100.0\045)p 3248
2119 V 511 2122 2739 4 v 933 2274 a Fe(T)g(ab)o(le)23
b(21.)h(Pr)n(opor)r(tions)e(of)h Fk(Size)g Fe(and)f Fk(T)-6
b(ype)23 b Fe(f)n(or)g Fk(Estimate)-83 2624 y Fj(Second,)34
b(again)d(common)f(to)j(both)e(v)n(ariables,)j(the)e(associa-)-182
2723 y(tions)15 b(using)g Fk(Size)g Fj(and)g Fk(T)-6
b(ype)15 b Fj(are)g(more)f(useful)h(from)f(both)h(research)-182
2823 y(and)24 b(practice)h(perspecti)n(v)o(es)f(in)i(that)f(the)o(y)g
(are)g(more)f(generically)-182 2923 y(applicable)f(and)h(acceptable)g
(when)g(compared)f(to)i(the)g(more)f(ob-)-182 3022 y(scure)c
Fk(Entry)g Fj(and)f Fk(Links)i Fj(measures.)-83 3122
y(Third,)i Fk(Links)h Fj(w)o(as)h(only)d(signi\002cant)h(for)g
(predicting)f(errors)h(\226)-182 3222 y(not)31 b(errors)f(of)h(an)o(y)g
(direction,)i(and)d Fk(Entry)i Fj(w)o(as)g(only)f(added)f(to)-182
3321 y(the)c(model)g(for)g(o)o(v)o(erestimates)f(as)i(the)g(third)f(v)n
(ariable,)h(suggest-)-182 3421 y(ing)c(that)g(the)g(majority)g(of)g
(the)g(association)g(is)h(contained)e(in)i Fk(Size)-182
3520 y Fj(and)19 b Fk(T)-6 b(ype)p Fj(.)-83 3620 y(The)25
b(o)o(v)o(erall)e(frequenc)o(y)f(for)i(the)h(reduced)e(set)i(of)f
Fk(Size)p Fj(,)i Fk(T)-6 b(ype)p Fj(,)-182 3720 y(and)30
b Fk(Estimate)h Fj(is)g(sho)n(wn)f(in)h(T)-7 b(ables)31
b(20)f(and)h(21.)56 b(The)30 b(full)h(ta-)-182 3819 y(ble)24
b(sho)n(wing)f(all)i(combinations)e(of)h(all)h(v)n(ariables)f(is)h
(less)g(useful)-182 3919 y(since)d(there)g(are)g(144)f(le)n(v)o(els)i
(of)f(the)g(six)h(v)n(ariables,)e(with)i(only)e(77)-182
4019 y(observ)n(ations.)44 b(In)27 b(addition)g(man)o(y)f(of)h(the)g
(observ)n(ations)f(f)o(all)i(in)-182 4118 y(the)20 b(same)g(cells,)h
(leading)e(to)h(lar)o(ge)g(numbers)e(of)i(empty)f(cells.)-83
4218 y(Ho)n(we)n(v)o(er)m(,)f(e)n(v)o(en)g(from)g(this)i(simple)f
(presentation)f(it)i(again)e(ap-)-182 4317 y(pears)25
b(that)i(there)e(is)i(some)f(relationship)f(between)g
Fk(Size)h Fj(and)g Fk(Es-)-182 4417 y(timate)g Fj(and)f(between)h
Fk(T)-6 b(ype)26 b Fj(and)f Fk(Estimate)i Fj(e)n(v)o(en)e(when)g(the)i
(tw)o(o)-182 4517 y(v)n(ariables)15 b(are)i(included)e(\(as)i(compared)
e(to)h(the)h(pairwise)f(compar)n(-)-182 4616 y(isons)k(in)g(Section)g
(5)g(on)g(contingenc)o(y)d(table)j(analysis\).)25 b(Ov)o(eresti-)-182
4716 y(mates)20 b(are)g(more)g(common)e(for)h(small)i(modules)e(and)h
(reports.)-182 4921 y Fd(7.2)90 b(Analysis)-83 5126 y
Fj(T)-7 b(able)24 b(22)g(sho)n(ws)g(the)h(results)f(of)g(the)g(v)n
(arious)g(models)f(de)n(v)o(el-)-182 5225 y(oped.)58
b(From)31 b(T)-7 b(able)31 b(23)h(the)f(signi\002cance)g(of)g(the)h
(interactions)-182 5325 y(between)19 b Fk(T)-6 b(ype)19
b Fj(and)h Fk(Estimate)g Fj(as)g(well)h(as)f(between)f
Fk(Size)h Fj(and)g Fk(Es-)1974 2624 y(timate)k Fj(can)g(be)g(seen.)38
b(Ho)n(we)n(v)o(er)22 b(the)j(full)f(model)f(with)h(the)h(three)1974
2723 y(w)o(ay)32 b(interactions)e(sho)n(ws)i(that)g(the)g(interaction)e
(between)h Fk(Size)p Fj(,)1974 2823 y Fk(T)-6 b(ype)p
Fj(,)20 b(and)f Fk(Estimate)i Fj(is)g(not)f(signi\002cant.)2073
2934 y(All)h(parameters)e(are)i(signi\002cant)e(e)o(xcept)h(for)f
(interactions)h(be-)1974 3034 y(tween)g Fk(T)-6 b(ype)p
Fj(=1)19 b(and)g Fk(Size)p Fj(=1,)h Fk(Estimate)p Fj(=-1)f(and)g
Fk(Size)p Fj(=2,)h(and)f Fk(Es-)1974 3134 y(timate)p
Fj(=0)25 b(and)g Fk(Size)p Fj(=2.)42 b(The)26 b(other)f(11)g
(parameters)g(are)h(all)g(sig-)1974 3233 y(ni\002cant.)46
b(Residuals)28 b(are)f(normally)f(distrib)n(uted)h(and)g(appear)f(to)
1974 3333 y(be)20 b(independent.)2073 3444 y(The)25 b(e)o(xpected)e
(counts)h(are)g(sho)n(wn)g(in)h(T)-7 b(able)24 b(24.)38
b(From)24 b(here)1974 3544 y(the)d(odds)g(of)g(a)g(correct)g(estimate)g
(for)g(a)g(small)h(screen)f(are)g(0.22:1,)1974 3644 y(for)g(a)h(small)g
(report)f(the)o(y)g(are)g(1.47:1)g(gi)n(ving)f(a)i(log-odds)e(ratio)h
(of)1974 3743 y(6.7)27 b(in)h(f)o(a)n(v)n(or)g(of)g(the)g(reports.)47
b(F)o(or)28 b(medium)f(modules)g(the)h(cor)n(-)1974 3843
y(responding)20 b(odds)h(are)i(0.62:1)d(and)i(0.49:1)f(respecti)n(v)o
(ely)f(and)i(the)1974 3942 y(ratio)d(is)i(1.27)d(in)i(f)o(a)n(v)n(or)f
(of)h(screens.)k(F)o(or)c(lar)o(ge)e(modules)h(the)h(odds)1974
4042 y(are)f(0.27:1)g(and)g(0.13:1)f(respecti)n(v)o(ely)g(with)i(a)g
(ratio)f(of)h(2.08)e(in)i(f)o(a-)1974 4142 y(v)n(or)g(of)h(screens.)28
b(F)o(or)20 b(all)i Fk(T)-6 b(ype)21 b Fj(and)f Fk(Size)i
Fj(combinations)d(the)i(mis-)1974 4241 y(estimates)j(outnumber)c(the)k
(correct)e(estimates)i(e)o(xcept)e(for)h(small)1974 4341
y(reports.)35 b(As)25 b(the)f(modules)f(get)h(lar)o(ger)f(the)h(ratio)g
(becomes)f(more)1974 4441 y(f)o(a)n(v)n(orable)18 b(to)i(screens,)g
(suggesting)e(that)i(ef)n(fort)e(for)i(lar)o(ge)e(screens)1974
4540 y(is)j(easier)f(to)h(estimate)f(than)g(for)f(lar)o(ge)h(reports.)
1974 4783 y Fd(7.3)90 b(Conclusions)21 b(fr)n(om)i(log\255linear)f
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(be)g(seen)h(that)f(both)g Fk(T)-6 b(ype)17 b Fj(and)1974
5126 y Fk(Size)j Fj(of)n(fer)e(considerable)g(potential)h(in)g(being)g
(able)h(to)f(predict)g(the)1974 5225 y(probability)d(of)h
(misestimation.)24 b(Modules)17 b(are)h(more)f(lik)o(ely)h(to)g(be)1974
5325 y(underestimated)24 b(if)i(the)o(y)g(are)g(screens)g(rather)f
(than)h(reports,)h(and)1839 5574 y(10)p eop
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V 230 w(0.52)p 1450 2608 V 119 w(0.48)p 1695 2608 V 98
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2211 4 v 773 2910 4 100 v 885 2880 a(T)g(otal)p 1163
2910 V 213 w(23)p 1450 2910 V 202 w(3)p 1695 2910 V 182
w(14)p 1939 2910 V 161 w(11)p 2184 2910 V 182 w(21)p
2471 2910 V 202 w(5)p 2716 2910 V 194 w(77)p 2984 2910
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(frequenc)o(y)g(of)g Fk(Size)p Fe(,)g Fk(T)-6 b(ype)p
Fe(,)22 b Fk(Estimate)h Fe(v)n(ariab)o(les)-182 3415
y Fj(are)30 b(lar)o(ger)f(rather)h(than)g(smaller)-5
b(.)56 b(The)31 b(opposite)e(relationships)-182 3515
y(apply)19 b(for)g(o)o(v)o(erestimates.)-182 3904 y Fl(8)99
b(Estimate)25 b(accuracy)h(as)e(a)h(function)h(of)f(time)-83
4276 y Fj(One)d(\002nal)h(analysis)f(procedure)e(w)o(as)j(undertak)o
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4476 y(period)30 b(of)i(the)g(project.)60 b(In)32 b(terms)g(of)g(this)g
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k(achie)n(v)o(ed)c(at)j(the)g(be)o(ginning)d(and)h(end)-182
4675 y(of)24 b(the)h(project,)g(whilst)g(the)g(most)g(important)f
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(either)g(ef)n(fort)g(for)f(the)i(be)o(ginning)c(and)-182
5026 y(end)21 b(tasks)h(w)o(as)h(simply)e(easier)h(to)g(predict)f
(correctly)-5 b(,)21 b(or)g(perhaps)-182 5126 y(the)h(estimates)i(were)
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(signi\002cant)e(ef)n(fort)h(error)-5 b(.)1974 3415 y
Fl(9)99 b(Conclusions)2073 3631 y Fj(After)31 b(the)g(analysis)g(of)g
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y(ble)f(analysis,)h(logistic)e(re)o(gression)f(and)i(log-linear)e
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4229 y(ity)-5 b(.)24 b(These)18 b(latter)g(tw)o(o)h(characteristics)f
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(possible)g(to)g(produce)e(models)i(that)g(adjust)g(their)1974
4528 y(estimates)32 b(for)e(these)h(types)g(of)g(modules)f(while)h
(using)g(the)g(full)1974 4628 y(set)23 b(of)f(a)n(v)n(ailable)g
(numerical)f(data)h(for)g(ef)n(fort)f(estimates.)32 b(Simply)1974
4727 y(by)26 b(including)e(binary)h(v)n(ariables)g(in)h(such)g(models)g
(the)g(intercept)1974 4827 y(w)o(ould)f(be)g(changed)f(to)i(re\003ect)g
(dif)n(ferences.)39 b(Alternati)n(v)o(ely)-5 b(,)25 b(for)1974
4926 y(v)n(ariables)i(such)h(as)g(size)h(modi\002cation)d(to)i(the)g
(slope)g(parameter)1974 5026 y(may)20 b(be)g(made.)2073
5126 y(Also,)28 b(the)f(results)f(could)g(be)g(used)g(in)h(educating)d
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(estimates)h(are)f(going)g(wrong.)33 b(This)1974 5325
y(w)o(ould)26 b(pro)o(vide)f(a)i(useful)f(feedback)f(mechanism,)i
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h(be)g(con-)-182 903 y(sidered)g(when)g(e)o(xamining)e(the)j(results.)
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1301 y(misjudgements)d(on)i(their)g(other)g(projects.)55
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(and)e(type)h(of)f(the)h(constituent)f(modules.)41 b(These)-182
2010 y(tw)o(o)28 b(f)o(actors)f(are)h(perhaps)f(the)h(most)g(intuiti)n
(v)o(e)f(and)h(reasonable,)-182 2110 y(pro)o(viding)20
b(a)k(foundation)c(for)j(further)e(analysis)i(into)g(other)g(asso-)-182
2209 y(ciations)j(for)h(the)g(purposes)f(of)g(de)n(v)o(eloping)f
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b(and)i(assessing)h(project)f(managers,)f(and)h(making)f(risk)-182
2408 y(estimates.)-182 2675 y Fl(Refer)n(ences)-145 2916
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3190 y(ing)p Fb(,)18 b(9\(6\):639\226648,)k(1983.)-145
3337 y([2])42 b(B.)17 b(Boehm.)26 b Fa(Softwar)m(e)18
b(Engineering)i(Economics)p Fb(.)25 b(Prentice-Hall,)-16
3429 y(Engle)n(w)o(ood)20 b(Clif)n(fs)e(NJ,)g(USA,)g(1981.)2011
83 y([3])42 b(A.)24 b(Gray)h(and)h(S.)e(MacDonell.)48
b(Fuzzy)25 b(logic)g(for)g(softw)o(are)h(met-)2140 174
y(ric)g(models)h(throughout)h(the)f(de)n(v)o(elopment)h(life)e(c)o
(ycle.)51 b(In)27 b Fa(Pr)m(o-)2140 266 y(ceedings)20
b(of)f(the)g(1999)h(Annual)f(Meeting)g(of)g(the)g(North)g(American)2140
357 y(Fuzzy)j(Information)h(Pr)m(ocessing)f(Society)g(-)g(N)n(AFIPS)p
Fb(,)e(Ne)n(w)i(Y)-8 b(ork)2140 448 y(NY)e(,)18 b(USA,)g(1999.)i(IEEE)e
(Computer)h(Society)g(Press.)26 b(T)-6 b(o)19 b(appear)l(.)2011
573 y([4])42 b(F)-6 b(.)19 b(Heemstra)h(and)h(R.)f(K)o(usters.)30
b(Function)21 b(point)f(analysis:)27 b(e)n(v)n(alu-)2140
664 y(ation)17 b(of)h(a)f(softw)o(are)g(cost)h(estimation)f(model.)24
b Fa(Eur)m(opean)18 b(J)n(ournal)2140 756 y(of)h(Information)g(Systems)
p Fb(,)g(1\(4\):229\226237,)i(1991.)2011 880 y([5])42
b(M.)16 b(Host)f(and)i(C.)e(W)-6 b(ohlin.)20 b(A)c(subjecti)n(v)o(e)h
(ef)n(fort)e(estimation)h(e)o(xper)o(-)2140 971 y(iment.)46
b Fa(Information)26 b(and)g(Softwar)m(e)g(T)-7 b(ec)o(hnolo)o(gy)p
Fb(,)28 b(39:755\226762,)2140 1063 y(1997.)2011 1187
y([6])42 b(R.)21 b(Hughes.)36 b(Expert)21 b(judgement)i(as)f(an)g
(estimating)f(method.)36 b Fa(In-)2140 1279 y(formation)19
b(and)h(Softwar)m(e)g(T)-7 b(ec)o(hnolo)o(gy)p Fb(,)20
b(38:67\22675,)h(1996.)2011 1403 y([7])42 b(W)-7 b(.)21
b(Humphre)o(y)-5 b(.)37 b Fa(A)22 b(Discipline)g(for)f(Softwar)m(e)i
(Engineering)p Fb(.)37 b(Ad-)2140 1494 y(dison)19 b(W)-6
b(esle)o(y)h(,)19 b(1995.)2011 1619 y([8])42 b(A.)35
b(Lederer)g(and)h(J.)f(Prasad.)79 b(Nine)36 b(management)g(guidelines)
2140 1710 y(for)c(better)h(cost)g(estimating.)70 b Fa(Communications)34
b(of)f(the)f(A)n(CM)p Fb(,)2140 1802 y(35\(2\):51\22659,)21
b(1992.)2011 1926 y([9])42 b(A.)21 b(Lederer)h(and)h(J.)f(Prasad.)36
b(A)22 b(causal)g(model)h(for)f(softw)o(are)g(cost)2140
2017 y(estimating)g(error)l(.)39 b Fa(IEEE)21 b(T)l(r)o(ansactions)i
(on)g(Softwar)m(e)g(Engineer)o(-)2140 2109 y(ing)p Fb(,)c
(24\(2\):137\226148,)i(1998.)1974 2233 y([10])42 b(R.)18
b(Meli.)27 b(Early)19 b(function)g(points:)24 b(a)19
b(ne)n(w)g(estimation)h(method)f(for)2140 2325 y(softw)o(are)e
(projects.)24 b(In)17 b Fa(Pr)m(occeedings)i(ESCOM97)p
Fb(,)f(Berlin,)e(1997.)1974 2449 y([11])42 b(T)-6 b(.)15
b(Mukhopadhyay)-5 b(,)19 b(S.)c(V)l(icinanza,)h(and)g(M.)f(Prietula.)k
(Examining)2140 2540 y(the)j(feasibility)f(of)h(a)g(case-based)h
(reasoning)g(model)f(for)g(softw)o(are)2140 2632 y(ef)n(fort)16
b(estimation.)k Fa(MIS)c(Quarterly)p Fb(,)h(pages)f(155\226171,)j(June)
d(1992.)1974 2756 y([12])42 b(M.)22 b(Shepperd)h(and)g(C.)f
(Scho\002eld.)38 b(Estimating)22 b(softw)o(are)g(project)2140
2848 y(ef)n(fort)17 b(using)h(analogies.)24 b Fa(IEEE)16
b(T)l(r)o(ansactions)i(on)g(Softwar)m(e)g(Engi-)2140
2939 y(neering)p Fb(,)h(23\(12\):736\226743,)j(1997.)1974
3064 y([13])42 b(E.)18 b(Stensrud)h(and)g(I.)f(Myrtv)o(eit.)27
b(Human)19 b(performance)h(estimating)2140 3155 y(with)30
b(analogy)h(and)g(re)o(gression)f(models:)47 b(an)30
b(empirical)g(v)n(alida-)2140 3246 y(tion.)24 b(In)17
b Fa(Pr)m(oceedings)i(of)e(the)h(F)m(ifth)e(International)j(Softwar)m
(e)g(Met-)2140 3337 y(rics)d(Symposium)i(\(Metrics'98\))p
Fb(,)f(pages)h(205\226213,)h(Los)d(Alamitos,)2140 3429
y(California,)i(1998.)i(IEEE)e(Computer)h(Society)g(Press.)1839
5574 y Fj(12)p eop
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