Behavior ResearchMethods. Instruments. & Computers t996, 28 @, s04-5 t 5 Statistical analysis of the bidirectional inconsistencyof spelling and sound in French JOHANNESC. ZIEGLER Marseille, France Centerfor Researchin Cognitiue Neu,roscience, ARTHUR M. JACOBS e, Mars eille, Franc e Centerfor Research in Cogniti,ae N eurosc'i,ertc and Philipp s-Uniuersity, Marburg, Germany and GREGORYO. STONE Arùzona State Uniuersity, Tempe,Ari,zona Recentstudiessuggestthat perforrnanceattendant on visual word perception is affected not only by the "traditional" feedforwardinconsistency(spelling-+ phonology)but also by its feedbackinconsistency(phonology+ spelling).The presentstudy presentsa statisticalanalysisof the bidirectional inconsistencyfor all French monosyllabicwords. We show that French is relatively consistentfrom spellingto phonologybut highly inconsistentfrom phonologyto spelling.AppendixesB and C list prior and conditional probabilities for all inconsistentmappingsand thus provide a valuabletool for controlling, selecting,and constructing stimulus materials for psycholinguisticand neuropsychological research.Such large-scalestatistical analysesabout a language'sstructure are crucial for developing metrics of inconsistency,generatinghypothesesfor cross-linguisticresearch,and building computational models of reading. When studying Frenchas a secondlanguage,students often complain that Frenchis unpredictableand ambiguous (Content,l99l ). In a similar vein, Frenchis often said to be highly inconsistent.Inconsistencytypically refersto mapping.For inthe ambiguity in the spelling-to-sound stance,in English,the spellingbody -int rs inconsistent becauseit can be pronounced latntl as in pint and lntl as in mint In contrastto French'sreputationas an inconsistentlanguage,recentestimatessuggestthat Frenchorthographyis more consistentthan Englishorthographyas mappingis concerned(Confar as the spelling-to-sound tent & Peereman,1992).Gak ( 1976)claimed that95oÂof wordscould be correctlydecipheredon the basisof rules convertingspellingto sound.The most preciseestimate, taken from studieson automatic text-to-speechtranslation, lists no more than 204 exceptionwords (Catach, 1984).Thus,Frenchseemsto be more consistentthan in"inconsistencymystuition might suggest.To resolvethis The researchreported in this article was supportedby a German A c a d e m i cE x c h a n g eS e r v i c eG r a n t ( D A A D - D o k t o r a n d e n s t i p e n d i u m a u s M i t t e l n d e s z w e i t e n H o c h s c h u l s o n d e r p r o g r a m m sa)w a r d e dt o J . C . Z i e g l e r .W e t h a n k M . C o l t h e a r ta n d D . M a s s a r of o r s t i m u l a t i n g d i s c u s s i o n so n t h i s a n d r e l a t e dt o p i c s a n d R . S . B e r n d t , S . R a n s d e l l , and an anonymousreviewer for valuable feedbackon an earlier version of this article. We are grateful to A. Content, M. Montant, and A . R e y f o r t h e i r h e l p w i t h t h e s u b t l e t i e so f F r e n c ho r t h o g r a p h ya n d phonology.Correspondenceshould be addressedto J. C. Ziegler,Cens ognitivesC , e n t r eN a t i o n a ld e l a t r e d e R e c h e r c h ee n N e u r o s c i e n c eC R e c h e r c h eS c i e n t i f i q u e 3 , l , C h e m i nJ o s e p hA i g u i e r , 1 3 4 0 2M a r s e i l l e C e d e x2 0 , F r a n c e( e - m a i l : z i e g l e r @ ) l n f . c n r s - m r s . f r ) . tery" of French,detailedstatisticsabout the bidirectional mappingof spellingand soundare needed. For English,the mappingof spellingto soundhasbeen describethe spellingstudiedextensively.Psycholinguists to-soundstructurein terms of rules that relategraphemes to phonemes(Venezky,1970;Wrjk, 1966).Neuropsychologists use inconsistencyin the spelling-to-soundmappings as one of severaltools for investigatingdifferent types of dyslexia(Patterson,Marshall,& M. Coltheart, & Morton, 1985;Plaut& Shallice,1993). 1985;Patterson Educatorsand psychologistsanalyzethe way in which children might learn to translatespellingto sound(Bosman & Van Orden,in press;V Coltheart& Leahy,1992;Treiman, Mul l enni x, B i j el j ac-B abi c,& R i chmond- Welt y, 1995; Waters,Seidenberg,& Bruck, 1984; Wimmer & Goswami, 1994).Cognitive psychologistsproposemodels and theoriesto accountfor the variousfacetsof inconsistencyobservedin naming and lexical decisiontasks (M. Coltheart,1978; Forster& Chambers,1973; Frederiksen& Kroll, 1976;Glushko, 1979:'Taraban& McWaters& Clelland,1987;Van Orden& Goldinger,1994', Seidenberg,1985).Finally,proponentsof computational modelsare challengedto implementprocessesin simulation models that capturehuman performancefor inconsistentwords(Brown, 1987;M. Coltheart,Curtis,Atk i n s , & H a l l e r , 1 9 9 3 ; M . C o l t h e a r t& R a s t l e , 1 9 9 4 : & McClelland,1989;VanOrden, Norris, 1994:Seidenberg Bosman,Goldinger,& Farrar,in press). Not surprisingly,detailedstatisticaldescriptionsof the spelling-to-soundrelation in English are availableand 504 Copyright 1996PsychonomicSociety,[nc. 505 ZIEGLER.JACOBS.AND STONE providevaluableresearchtools for planningexperiments and constructingstimulus materials(Berndt, D'Autrechy, & Reggia,1994;Berndt,Reggia,& Mitchum, 1987;P.R. Hanna,J. S. Hanna, Hodges,& Rudorf,1966). Detailed analysesof a language'sstructure seem crucial for developing and testingmodelsof readingin which the processingof one linguistic item is influencedby the entire set of items the model knows, as in current connectionist models of reading (Grainger & Jacobs,1996;Jacobs & Grainger,1992,.1994; McClelland& Rumelhart,1981; Stone& Van Orden, 1994;Ziegler,Rey,& Jacobs,1995; seeTreiman et a1.,1995,for a similar argument). To determinewhethera monosyllabicword is inconsistent, it is typically broken down into its onsetand spelling body.The onsetis the initial sequenceof consonants, and the spelling body (or rime) is everything following it (see,e.g., Patterson& Morton, 1985;Treimanet al., 1995).For example,pint can be divided into the onsetpand the spellingbody -int.Words are traditionally classified as inconsistentif their spellingbody maps into more thanonepronunciation(e.g.,-int rnpintvs. mint).They are traditionally called consistentif their spelling body has only one possiblepronunciation(e.g.,-uck in duck,luck). In numerousstudies,the inconsistencyof the spellingto-soundmappinghasbeenshownto affect performance in lexical decision and naming tasks (Andrews, 1982; V Coltheart & Leahy, 1992; Content, l99I; Content & Peereman,1992; Glushko, 1979; Jared,McRae, & Seidenberg,1990; Seidenberg,Waters,Barnes,& Tanenhaus, 1984;Taraban& McClelland, 1987;Waters& Seidenberg,1985). In the naming task, it takes longer to read aloud inconsistentwords, such aspint, than it does to readconsistentwords suchasduck (-int in pinl may be pronouncedas in mint; -uck in duck is pronouncedonly as in duck). Occasionally,skilled readersmake regularization errors. They may incorrectly pronounce pint to rhyme with mint Those regularizationerrors are characpatients.In the lexicaldecision teristicof surface-dyslexic task,participantsproduceslowerresponsesand more errors to inconsistentitems than to consistentitems.These consistencyeffects are strongerfor low-frequencythan for high-frequencyinconsistentitems and are often statistically reliable only for low-frequencywords (but see Jared, 1995, for consistencyeffects for high-frequency words).To summarize,thesespelling-+ phonologyconsistencyeffects raise the questionof how reading is affectedwhen a spellinghasmore than one pronunciation. ogy, words are feedforward inconsistent if a word's spellingbody hasmore than one possiblepronunciation, such as -int in pint and mint. Words arefeedback inconsistent if a word's phonologic body has more than one possiblespelling,suchas l-ipl in deep andheap.ln fact. Stoneet al. found that lexical decisionlatenciesto words that were traditionally labeledas consistentwere longer if they were feedbackinconsistentthan if they were feedback consistent. In a different line of research, Ziegler and Jacobs( I 995; seealso Ziegler,Van Orden, & Jacobs,in press)recently demonstratedthat feedback inconsistencyalso affects performancein simplegraphemictasks.In a lettersearch task, they presentedpseudohomophones, l i ke br ane. Pseudohomophones and homophonesare,by definition, feedback inconsistentbecausetheir phonology can be spelledin more than one way.The authorsfound that letter detection performance was worse (longer reaction times [RTs] and more errors) for feedback-inconsistent letterstrings(i.e.,pseudohomophones) than for feedbackconsistentspellingcontrols. In previousstudiesof visual word recognition,inconsistencyin terms of soundto spelling(feedbackinconsistency)has been a neglectedsourceof information. However,a statisticalanalysisof all English monosl'llabic words showedthat feedbackinconsistencyis common. Stoneet al. (in press)calculatedthat 76.60,'o of the monosyllabic words taken from Kuëera and Francis (1967)were feedbackinconsistentand72.49/o of the uord occurrences were feedbackinconsistent. On the basisof theseresults,they concludedthat the ignored factor of feedbackinconsistencycould have been responsiblefor small and unreliableconsistencyeffectsin prerious studies,becauseinvestigatorsmight havefailed to control for feedbackinconsistencyin their consistentcontrol items (againstwhich the processingcostsof inconsistentitems w ere tested)-that i s, w hetherthei r consi sten tu'or ds contai nedphonol ogi cbodi esthat coul d be spelledin more than one way. To summarize.recent studieshave shown that it mattersin visual word perceptionu'hen a pronunciationhasmore than one spelling.Furthermore, feedbackinconsistencyis rathercommon in English.In the presentstudy,we look at feedforwardand feedback inconsistencyin French. The Present Study The study and statisticalanalysisby Stoneet al. (in press)provides a key to understandingthe aforementioned"inconsistencymystery"of French.Frenchmight A New Perspective Until recently,all discussionof consistencyeffectshas be relatively consistentfrom spelling to phonology,but concerneda classic "feedforward" spelling -+ phonol- much lessconsistentfrom phonologyto spelling.In the ogy effect. However, Stone, Vanhoy,and Van Orden (in presentstudy,we investigatethis hypothesis.We provide perspec- a statisticaldatabasegiving the degreeof inconsistency press)challengedthis "one-way-inconsistency" tive. They demonstratedthat visual word perceptionis not in both directions:from spelling to phonology (feedforonly influenced by "traditional" spelling-to-phonology ward) and from phonology to spelling (feedback).Furinconsistencybut also by phonology-to-spellingincon- thermore,we compareinconsistencyin English to insistency(i.e., when a phonologicbody maps into more consistencyin French.In doing so, we hope to stimulate than one spelling). According to Stoneet al.'s terminol- cross-linguisticresearchby generatinghypothesesabout BIDIRECTIONALINCONSISTENCY 506 differencesacrossand similarities between languages. Prior and Conditional Probabilities As in the Berndtet al. ( 1987)analysisof Englishgrapheme-toThe presentAppendixesB and C also provide a useful prior and conditionalprobabilities tool for selectinginconsistentstimuli or creatingpseudo- phonemecorrespondences, were calculatedfor all spellingand phonologicbodies.Prior words to test subjectsor patients. METHOD Corpus For the present analysis, we used a computerized lexical database for French (BRULEX) developed by Content, Mousty, and Radeau(1990). BRULEX contains 35,746lexical entries; created in 1986, it contains the major part of word entries listed in the dictionary Micro-Roberr (Robert, 1986). Proper names and affixes are excluded. Verbs occur in their infinitive form only. The feminine form of nouns and adjectives (e.g., bon*bonne) is represented separately. For every word entry, different information is available, such as orthographic form; phonologic form; grammatical class; word frequency; imageability values; and number of letters, phonemes, syllables, homographs, homophones, and meanings. BRULEX's phonologic representations are based on the phonetic descriptions found inthe Micro-Robert (Robert, 1986). A key to the phonetic symbols is presented in Appendix A. It lists the standard phonetic symbols (according to Warnant, 1987), the keyboardc o m p a t i b l e c o r r e s p o n d e n c e su s e d i n t h e p r e s e n t a r t i c l e a n d i n BRULEX, and example words. Word frequency counts in BRULEX are taken from the corpus "Trésor d e l a L a n g u e F r a n ç a i s e "( I m b s , l 9 7 l ) . T h i s c o r p u s c o n tains 23.5 million words taken from a wide range of printed materials published between 1919 and 1964. In the present study, the statistical analysis of inconsistency is r e s t r i c t e dt o m o n o s y l l a b i c w o r d s ( N : 1 , 8 4 3 ) i n o r d e r t o e n s u r e compatibility with analyses recently provided for English (Stone e t a l . , i n p r e s s ;T r e i m a n e t a l . , 1 9 9 5 ) . Word Decomposition All monosyllabic words were broken down into their initial onset (consonant cluster) and their spelling body. For example, pi nt was divided into the onsetp- and the spelling body -int. For all spelling bodies, the corresponding phonologic bodies were extracted. Similarly, for all phonologic bodies, the corresponding spelling bodies were extracted. Feedforward Consistency A spelling body was feedforward consistent if it mapped into one and only one phonologic body. All words containing this spelling body were feedforward consistent.A spelling body was considered feedforward inconsistent if it could be mapped into more than one phonologic body. For example, the spelling body -int has more than one phonologic body, latntl as in pint and lnTl as in mint. Therefore, the spelling body -int is feedforward inconsistent and all words containing the spelling body -int are feedforward inconsistent. Feedback Consistency A phonologic body was feedback consistentif it mapped into one and only one spelling body. All words containingthis phonologic body were feedback consistent.A phonologic body was considered feedback inconsistent if it could be mapped into more than one spelling body. For example, the English phonologic body /-ob/ can only be spelled -obe. Therefore, the phonologic body /-ob/ and all words containing it (e.g.. probe) are feedback consistent. In contrast, the phonologic body l-ipl can be spelled -eep and -eap. Therefore, the phonologic body /-ip/ and all words containing it (e.g., deep or heap) are feedback inconsistent. probabilities were obtainedby dividing the total frequencyof a particularbody by the total numberof occurrences of all bodies. Conditionalprobabilitiesfor a particularbody wereobtainedby diby the total viding the frequencyof eachof its correspondences frequencyof this particularbody. Conditionalprobabilitiescan alsobe relatedto Jaredet al.'s( 1990)notionof a word's"friends" (wordswith a similarspellingpatternanda similarpronunciation) and "enemies"(wordswith a similar spellingpatternbut a differA conditionalprobabilitygreaterthan .5 indient pronunciation). catesthat the summedfrequencyof a word'sfriendsis greaterthan the summedfrequencyof its enemies.A conditionalprobability smallerthan .5 indicatesthat the summedfrequencyof a word's enemiesis greaterthan the summedfrequencyof its friends.Accordingto Jaredet al., the sizeofthe consistencyeffectis related to the summedfrequencyof a word'sfriendsand enemies. RESULTS AND DISCUSSION Appendix B givesall feedforward-inconsistentspelling bodies along with their prior and conditional probabiliphonoties. Appendix C gives all feedback-inconsistent logic bodies with their prior and conditionalprobabilities. The following sectionsgive summary statisticson bidirectionalconsistencyin termsof the numberof words and the number of word occurrences. Words The most striking result of the presentanalysisis that 79J% of all monosyllabicFrenchwords are feedbackinconsistent(their phonologic body has more than one spelling),whereasonly 12.4%are feedforwardinconsistent (thei r spel l i ng body has more than one pr onunciation). In English,approximately760Âof all the monosyllabic words are feedback inconsistent and 33o are feedforwardinconsistent(seeStoneet al., in press).Table 1 summarizesthe crossedanalysisfor feedforwardand feedbackinconsistency. If we look at all the words that would traditionally be cl assi fi edas " consi stent"on the basi sof spelling- t o(87.6% of all the words),77.4o soundcorrespondences of them are feedbackinconsistent.Therefore, on average, up to 8 out of l0 items chosenby investigatorsas Table I Analysis of Crossed Consistency Conditions Based on the Number of Words Within Each Condition Feedback Consistenl Inconsistent o/o n Feedforward Consistent Inconsistent 364 2l 19.8 l.t l,250 208 6 7. 8 I 1.3 1,614 229 I 38s 20.9 l .458 79.1 l ,843 8 7. 6 12.4 Note-"Feedforward" refersto the mapping of spellingto sound, whereas"feedback" refers to the mapping of sound to spelling. 507 ZIEGLER.JACOBS.AND STONE "consistent"are,in fact, feedbackinconsistent.This might explain contradictory and unreliable findings concerning consistencyeffectsin English and French. Given the high degreeof feedbackinconsistency,an interestingquestionconcernsthe averagenumberof possible spellings(also called "gangs") for each inconsistent phonologicbody.An analysistaking into accountall feedbackinconsistentwords revealsthat an inconsistent phonologic body has, on average,3.67 possiblespellings. Someinconsistentphonologicbodies,like /e/, have up to l3 different spelling bodies. If a major part of all the words (79.1oÂ)can,on average,be spelledin threeor more different ways, it is no longer surprisingwhy French hasintuitively beenconsideredas unpredictableand ambiguous.Having many ways to spell a given sound leads to a high degreeof homophony,a key featureof French that is known not only for its capacity to generatemisin spokenlanguage,but also for allowing understandings some beautiful puns. On the basis of this bidirectional consistencyanalysis,it can be concludedthat monosyllabic Frenchwords are highly ambiguousfrom soundto spellingbut much lessso from spellingto sound.In more popularterms,Frenchmight be easyto readbut difficult to spell.Although theseconclusionsarebasedon the analysis of monosyllabicwords only, monosyllabicwords are more frequentlyusedthan are more complex words. The meanusagefrequencyof Frenchmonosyllabicwords is 179 occurrencesper million as opposedto 35 occurrencesper million for all other words in BRULEX. Table 2 Analysis of Crossed-Consistency Conditions Based on the Number of Word Occurrences (in Hundreds/Million) Feedback Consistent o/o n Inconsistent n o  Feedforward 79.7 Consistent Inconsistent 6.3 2.6 0.2 2 , 3 7 ' 7. 8 560.9 78.6 18.5 2 . 4 5 7. 5 5 6 7. 2 86.0 2.8 2,938.7 97.2 3.024.' I 8 I .2 I 8.8 Note-"Feedforward" refers to the mapping of spelling to sound. "feedback" refers to the mapping of sound to spelling. whereas of monosyl l abi cw ords i s somew hathi gher tha n t he usagefrequencyfor all other words in BRULEX. In previous studies, inconsistencyand irregularity haveoften beentreatedas a binary variable.However,the degreeof (in)consistencyalso seemsto be important (Jaredet al., 1990).Therefore,metricsof inconsistency mapare needed.In fact, as concernsspelling-to-sound pi ngs, some researchershave proposedsuch met r ics (Massaro& Cohen,1994:Rosson,1985:Venezkr'&Massaro, 1987).Our empi ri cal l yderi vedpri or and c onditionalprobabilitieslistedin AppendiresB andC canalso basedon the be usedto generatemetricsof inconsrstencv asthevoccuri n a cor pusof bi di recti onali nconsi stenci es all monosyllabicFrenchu'ords. C ON C LU S IO\ Word Occurrences When taking word occurrences(i.e., token count) as the critical measure,we obtain a complementarypicture: 97.2%of all word occurrencesare feedbackinconsistent, whereasonly 18.8% of all word occurrencesare feedforward inconsistent.Theseresultsare listed in Table2. The averagefrequency of occurrencefor feedforwardinconsistentwords (265 permillion) is greaterthan that for feedforward-consistent words (167 per million). The difwords. ferenceis more striking for feedback-inconsistent The average frequency of occurrence for f'eedbackinconsistentwords (220 per million) is much greater words (25 per million). than that for feedback-consistent Note that words inconsistentin both directionshave an especiallyhigh averagefrequency(289 permillion). This analysisconfirms linguistic studiessuggestingthat irregularitiesare more likely in common words than in uncommonwords,becausefrequentlyusedwords are more likely to survive linguistic evolution in irregular form thanare lessfrequentlyusedwords (Stoneet al., in press). Moreover,the pronunciationof words is more likely to deviatefrom its fossilizeddictionaryversionwhen words are frequently used in spoken language(Ellis, 1993). Sinceinconsistencyseemsto be more common in highfrequencythan in low-frequencywords,our analysismight slightly overestimatethe degreeof inconsistencyfor the entire set of French words becausethe usagefrequency In conclusion,a monosyllabicFrenchu'ordselectedat (79.l c o)but randomi s l i kel y to be feedbacki nconsi stent (87 feedback inconsisfeedforwardconsistent .60Â).Thus. tency seemsto be the rule in French.n'hereasfeedforward inconsistency seemsto be the exception.Sincefeedback inconsistencyhas been shou,nto affect performancein lexical decision.naming. and perceptualidentification tasks(Hooper& Paap.in press:Stoneet al., in press;Stone & Vanhoy,1994:Ziegler& Jacobs,1995;Ziegleret al., in needto be press),stimuli in psycholinguistic experiments controlledon this variableand systematiccross-linguistic researchis neededto further quantify the influence of feedbackinconsistency.The presentwork is a first step i n that di recti on.provi di ng a tool for control l i ngand selectingword stimuli, constructingnonword stimuli, developingquantitativemetrics of inconsistency,and generatinghypothesesfor cross-linguisticresearchand modeling. 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Journal of'E.rperimenHuman Perception & Perfbrmance. tal Ps,,-cholog.v: APPENDIX A Kev to PhoneticSvmbols Standard Symbol Corresponding Symbol I I e e a é CI e a A o o u o v v g æ e e ô ô æ j w u E e ê à ô û i û Examples /dée, ami ému, ôté perdu, mère alarm. patte baton. paTe obstacle,corps auditeur,beau coupable,loup punir, êlu cteuser,deux malheureux,peur petit, fortement matin, fin ample,temps rondeur,bon brun,lundi briller, pied oui, fouine Standard Symbol q p t k b d (t D Corresponding Symbol v p t k b d ç D f f S S I V z 3 I R n1 n T Z j I R m n N Examples huile, nuire patte. repas tête. ôrer,net carte,écaille,bec bête.roôe dire. chaude gauche.égal ./èu. chel .roeur.par.re chanter.peche vent, rêr'e zéro, raison jardin, manger, /ong, ba/ rond, charlot madame,aimer ,?ous,banne agneau,règne Note-Taken from Warnant( 1987). (c'ontinuedon nert page) BIDIRECTIONALINCONSISTENCY 5IO APPENDIX B Prior and conditional probabilitiesfor feedforward-inconsistent (spelling + phonology) correspondences. Phonologicbodies that are feedbackinconsistent(phonology-+ spelling)are indicatedby an asterisk(x). Body Spelling at aid aie am amp and ang Prior Body Prior Probability Spelling Probability Body Conditional Phonology Probability Example * .0025734 lel .891793 frai lél 108207 quai * .0001324 lel .911888 laid * ledl .088112 raid * .0003743 lel .676309 baie * lél gaie 323691 .0000205 laml * .791525 tram * làl .208475 dam * .0006992 làl .999154 camp * làpl .000846 vamp * .0107847 làl grand .999425 làdl * .000575 stand * .0007985 làl .996861 sang * làgl .003139 gang ap .0001653 arc .0001835 ars .0003309 as .0344907 at .0004452 az .0000g7g ef .00r24g5 emme .0030017 ens .0033744 erf .0001365 et .0028028 eule .0001334 ez .00314g4 ier .00177g3 ile .0001201 ille .0034104 lal lapl /ank/ las.l /ans/ lal lanl lal lasl lal latl razr lal ltfr lér ramr lxml làl làst ltp.l lxnfI retr lxl lell tElt têt Itzl tienl fiél tilt taTlt tilt tiit * * * * + * * * x * * * * + * * * * * * * * * * * * .835264 164736 .939469 .060531 .634747 .359465 .005788 drap cap parc marc mars gars jars .ggg5g1 '000403 .919521 .080479 .94g139 .05I 861 .g25624 174376 bas mas chat mat gaz raz chef cref femme gemme gens ,.n, nerf serf ner .997390 '002610 .608990 . 3 9 lo o 9 .9l9g9g .080102 .972759 '027241 .753850 .246150 .9gg34g .000652 .6g163g .31g362 .99gg40 .001160 iet seule veule nez fez hier nier pile mile 506529 .493471 mille fille in .0017655 ix .0018308 oc .0003276 ome .0000330 onc .0025600 ong .0010633 op .00291g3 ord .000g727 os .0032t36 ot .002g054 oup Body Conditional Phonology Probability Example lê,1 * .997496 fin * tint gin .002504 + lisl .745255 dix * lil prix .254745 lokl * .932299 choc * lot .06770t broc loml * .57g669 rome lOml * .42133t home * lôkl .956276 donc * jonc tôl .043724 * tôt .991945 long lôgl * gong .00g055 * lol .gg442g rrop topt * .005571 stop lonl /ond/ lol /os/ lol lotl '002317| ours .000s477 ous '0369600 out '0154699 ^ oût * * * 9g74g7 .002513 .966957 .033043 .9g9935 .010065 fiord dos os mor dot lul lupl * * '999745 .000255 loup croup /un/ /uns/ lul /us/ lul lutl * * * * x '0009425 lul lutl * * .93566g .064332 '71761852 .28238 148 '999858 '000142 j06154 cours ours nous tous bout scout goût août uel .000030| * uet '0001805 lj,ell l\ull lyxl lel I'jil lil * * * * .293846 .ggg43g 'ol 156l '92208293 .07791707 '999626 .000374 duel fuel muet guet nuit huit nul cul punch lunch turf surf plus jus ur '0153595 urt 0035050 riir tiitt * .g70561 129439 ul .0003574 unch .0000102 urf .0000015 .901413 .098587 .593857 .406143 .976744 .023256 us .0205097 * lyll * lyl * lôll lentll lynfl tenft * lysl * lyl ut .0004244 lyl lvtl * nord . 9 9 8 01 6 .001984 .899262 100738 lui gui but chut 5I I ZIEGLER,JACOBS,AND STONE APPENDIX C Prior and conditionalprobabilitiesfor feedback-inconsistent (phonology -+.sp9r]ing)correspondences. Spelling bodies that are feedforwardinconsisient(spelling -+ phonology) ! are indicatedby anîsterisk (*). Body prior Body Conditional f" /a/ làl làll làdl làgl lail lakl /àkl lall laml /anl ta9/ làpl lanl .0433965 3 acs ah ap ars as at az x< * * 'r' * * * * .22g512 va .000544 lacs . 0 0 11 5 3 b a h .003021 drap .002602 gars .754409 bas .009659 chat .000100 raz * .0632077 am .000064 dam * amp .010495 camp an .039905 clan anc .021377 franc and 16192g quand x ang .011958 sang ans .569777 sans ant .0431lg gant aon .000347 taon emps .063549 temps * ens .050691 gens ent .028903 vent .00093l9 anche .ggg397 blanche enche .000603 clenche .0003039 ande .9g0633 grande * and .019367 stand * .0003383 ang .007035 gang angue .992965 mangue .0003594 ail .t4t4g0 rail aille .942870 taille ailles .015639 ouailles .0021269 ac .t5g22l sac ack .000855 snack aque .839924 chaque .000189 ank .1331l2 tank anque .g66ggg banque .0032124 al .596567 mal ale .059527 cale âle .ll1099 pâle alle .232805 balle * .0053791 am .002g70 tram ame .418079 dame amme .050539 gramme emme * .528512 femme .000249 ane .656221 cane anne .343779 panne aonne .001062 paonne * .0003125 ap .0g2734 cap ape .499259 rape appe .418007 trappe * .0003657 amp .001537 vamp ampe .798951 crampe empe .199512 rempe .0229564 aî .g22679 bar * arc .000459 marc Body Prior Body Conditional Phonology Probability Spelling Probability Example lankl /as/ làs/ /aU làtt lAzl tEt lé/ ard are arre ars arI .0001732 ark arc .004844 ace AS ASSE .0007504 ance anse ens ense . 0 0 0 6 1 3 2 at ate ath att atte .0009897 ante ente enthe .04ll6l .027829 .003687 .000079 .104105 . 0 5 51 5 3 .944847 .743358 .002723 .253919 .196077 .065709 .722550 .015662 .0010444 ase az aze .0t4t499 eu eue eux oeu oeud ueux . 0 0 5 0 1 6 1 ai aie é ée ef ez Itl .0769465 ai aid aie ais ait aix egs CS têt ès et êt ets uet .0099082 a i m ain aint ein * ,r rË t& :F tard rare marre jars quarr mark parc trace mas rasse chance danse cens dense .055478 mat .602868 date .009812 math .000647 watr . 3 3I 1 9 5 p a r t e .355647 tanre .633297 vente . 0 11 0 5 7 m e n t h e . 9 1 6 1l 3 vase .075815 gaz .008072 gaze .479380 peu .007065 queue .500686 deux .006589 voeu .005437 noeud .000844 queux .052713 quai .000007 gaie .302183 thé .008239 née .041245 clef .595613 nez .028321 frai .001490 laid .003186 taie .223536 mais .076548 rrait .007019 paix .000082 legs .591681 ses .061455 très .000942 jet .005262 prêt .000305 mets . 0 0 0 17 4 g u e t .019797 faim .458233 vain .104999 sainr .159420 sein BIDIRECTIONALINCONSISTENCY 512 Appendix C (Continued) Body Prior Phonology Probability /e// .0002242 ledl .0002943 lefI .0007312 lefl .0009904 Body Spelling eing eint en in ingt ym aiche èche êche eiche aid aide ed euf oeuf uff ef effe inc ingue oeil euil euille aye eille lègl .0000208 leil .0012533 leil .00027 t5 lejl .0002282 ège lxkl .0 0 0 7 3 0 9 eak eige /êks/ lell lxll /emt lenl lepl ec ecque eik èque . 0 0 0 0 1 5 3 inx ynx .0 0 3 7 9 5 3 eul eule .0027045 e l èle êle elle aile .0 1 2 3 5 1 4 ême emme ème .0024738 aine ègne eigne eine ène êne enne .0 0 0 0 7 0 7 ep èpe êpe eppe Conditional Probability Example .000057 seing .008385 teint .010277 ben .1 6 8 7 8 3 v i n .069540 vingt .00051I rhym .005604 fraiche .723050 sèche .265153 pêche .006194 seiche .037636 raid . 9 1 51 7 8 a i d e .047186 bled .715184 veuf .277537 boeuf .007280 bluff .989084 chef .010916 greffe .785032 zinc .214968 dingue .509286 oeil .219927 seuil .270787 feuille .012177 paye .987823 veille .001738 grège .998262 neige .005337 steak .719604 sec .241270 grecque .006333 cheik .027456 chèque . 8 5 31 3 2 s p h i n x .146868 lynx .974843 seul .025157 seule . 8 51 8 7 9 q u e l .038995 zèle .007163 prêle .017822 belle .084139 aile .983948 même .000602 flemme .015450 thème .296354 haine .036378 règne .009302 peigne .381993 reine . 18 5 I 7 6 s c è n e .088312 frêne .002486 renne .230589 hep .057530 cèpe .481291 guêpe .230589 steppe Body Prior Phonoiogy Probability /eR/ .012997 /eR/ . 0 31 6 8 6 6 /es/ .0008104 Body Spelling eur eure eurre eurt oeur oeurs air aire er erc ère erf erre ers ert aisse CSS ESSE letl .0060217 lètl .0003868 /evt .0008771 lxzl . 0 0 0 71 6 9 tit .057409 tïilt .0000125 tidt .0007247 tiBt .0053262 tiét .0016382 liel .0000813 /te/ . 0 1 5 6 961 aite ept et ête ette ainte einte inte inthe aive êve ève aise eize èse ez èze i id ie is it ix iz ui iante iente ide uide ieu ieue ieux ied ier iais iet ien iens Conditional probability Example .567154 peur .22ll19 heure .003915 leurre .001687 heurt .198012 soeur .008114 moeurs .087831 chair .471732 taire . 0 5 31 7 5 f e r .002037 clerc .147925 guère .003762 nerf .103733 verre .099832 vers .010649 vert .193260 graisse .004651 stress .802089 cesse .006978 traite .048791 sept .478739 net .514283 fête .012463 dette .804615 sainte .161368 teinte .027521 quinte .006496 plinthe .020844 glaive .789718 rêve . I 89439 grève .688342 fraise .159657 seize .146145 thèse .002721 fez .003136 pèze .829580 cri .001239 nid .072563 vie .032809 pris .055665 dit .0077l5 prix .000429 riz .000095 gui .264550 riante .470900 fiente .873261 vide .126739 guide .308614 dieu .009423 lieue .681963 vieux .671833 pied .328167 nier .958503 niais .041497 quiet .999149 rien .000851 tiens sl3 ZIEGLER,JACOBS,AND STONE Appendix C (Continued) Body Prior Phonology Probability lieil l\ell liexl /ies/ .0000092 Body Spelling ieil ieille iel ielle .0012133 ier iers ierre .0008058 ièce iesse .0010721 l\ezl .0000102 tiil .0004685 tikt .0002467 tilt .0606600 iaise ièse if iffe ic ick ique il ile ille yle île ime yme liml .0003552 /iN/ .0016475 igne ygne linl .0002919 tipt .0005753 een ine in ip ipe ippe ype linl lisl tiU lizl tot ir ire yre yrrhe ice .0022625 ils is iss isse ix ys .0010121 ite itte ythe .0006215 ise uise .0140089 . 0 3 3 3 0 8 8 au aud aut aux eau o o c op o s * 'F * Conditional Probability Example .3 5 9 7 1 2 vi ei l .640288 vieille .992568 miel .007432 vielle .630473 hier .0341l7 tiers .335410 pierre .994953 pièce .005047 liesse 5 niaise .32467 .675325 dièse .923859 vif' .0 76 1 4 l gri ffe .541080 chic .004423 stick .454497 tique .963267 fil .001877 pile .027041 ville .003799 style .004176 île .999069 prime .000931 chyme .983525 vigne .016475 cygne .019426 spleen .966395 mine .0 1 4 1 7 9 gi n .001954 slip . 1 76 6 5 7 p i p e .042699 grippe .778691 type .0 0 3 5 9 2 ti r .995325 pire .000923 lyre .0 0 0 1 61 myrrhe .0 5 5 6 88 vi ce .340352 fils .012669 lis .0 0 5 4 07 mi ss .001914 lisse .5 7 2 6 60 si x . 0 1l 3 l 0 l y s .867610 vite .037499 quitte .094891 mythe .942340 prise .057660 guise .564445 au .006579 chaud .042580 saut .0 1 6 6 01 taux .084983 veau .023936 ho .000632 croc .082734 trop .0 8 8 5 89 dos Prior Body Phonology Probability Body Spelling * ot ôt tôt tôil lobl .05625190 om omb omPt on * onc ond onds {' ong ont onts .0000153 onche * unch .0004079 ob obe toft .0002229 lofI .0000208 logl lôgl lokl tôkt tolt loll lOml loml lOnl lopl /oR/ auf auffe of ophe .0000528 og ogue .0007164 ong ongue .0004672 oc ock ocque oq oque .0023368 onc onque .0007849 all aule awl iole oal ôl ôle .0012997 ol ole olle .0001613 aume ome ôme .0215893 ome omme um .0004726 aune ône aulne .0000453 op ope .0091809 aur aure or orc ord {' * * * * * * Conditional Probability Example .079172 .009749 flot tôr .022547 .000827 .000969 .833719 .001889 .027369 .000979 .017805 .093857 .000035 .623377 .376623 .044335 .955665 nom plomb prompt ton tronc rond fonds long front fonts tronche punch snob robe .994958 .005042 sauf chauffe prof strophe grog vogue gong longue choc stock socque coq toque donc conque hall gaule crawl gniole goal khôl tôle vol sole folle paume home môme tome pomme rhum jaune cône aulne stop chope saur maure for porc nord .054054 .945946 .090169 .909831 .011352 .988648 .620719 .092910 .006298 .130343 .149731 .994780 .005220 .046374 .038624 .001432 .000042 .001432 .001053 .911044 .525424 .006995 .467581 .731707 .081719 .186514 .000839 .998542 .000619 .493635 .498824 . 0 1l 8 9 l .340627 .659373 . 0 0 0 1 5I .001347 .104339 .002971 .090032 BIDIRECTIONALINCONSISTENCY 514 Appendix C (Continued) Body Prior Phonology Probability lOsl Body Spelling ore orps ors ort .0005347 auce AUSSE /osl .0006960 oce OSSE OS lotl t ôt l lOzl lul lùl lual l;jafI luall luanl lùanl tnét lùêt .0009402 acht ot ote otte . 0 0 1 2 8 s 4 ompte omte onte . 0 0 6 2 5 8 8 ause ose .07t5949 ou oue oug oul ouls oup ous out oût outs oux .0448345 eun un .02603l5 oi oid oids oie oigt ois oit oix .0001528 o i f oiffe . 0 0 0 5 1 8 3 oêle oelle oil oile .0000731 oine ouane ouenne .0140626 eoir oir oire .001257 | oué ouée ouer . 0 0 8 9 5 2 1 oin oing * * {( rl. Conditional probability Example .006021 store .1 9 5 9 55 corps .074199 hors .524986 tort .047610 sauce .952390 hausse .096271 noce .759015 grosse .1 4 4 7 14 os .0 1 0 7 6 0 yacht .028518 dot .766545 vote .194177 sotte .567876 prompte .113246 comte .3 1 8 8 7 9 honte .169947 pause .830053 prose .248509 sou .007134 proue .000265 joug .000577 soûl .0 0 0 2 5 1 poul s .030725 loup .490211 vous .2 0 5 1 5 3 tout .008828 moût .000046 touts .0 0 8 3 0 1 toux .000134 jeun .999866 brun .529184 quoi .021228 froid .009288 poids .0 5 2 8 0 1 voi e .021152 doigt .257385 trois .019896 toit .089066 voix .910015 soif .089985 coiffe .122353 poêle .040699 moelle .1 9 6 4 7 9 poi l .640470 voile .775215 moine .1 9 4 0 3 0 douane .0 3 0 7 5 5 couenne .001208 seoir .671293 voir .327499 boire .0 7 1 1 3 7 doué .077844 rouée . 8 5l 0 l 9 v o u e r .242168 soin .018727 poing Body Prior Phonology Probability lufl lukl lull /um/ lupl /un/ /us/ lutl luzl tyl Body Spelling oins oint .0000595 ouf ouffe .0000233 ouc ouk ouque .0006079 ool oule .0000064 oom oum .0010494 oup oupe ouppe .0284401 our ourd ourg ourre ours ourt .0140204 ouce ous ousse .0027787 out oût oute outte .0002067 ouse ouze ues .0368807 u û ue ul US lydl .0002936 tiêt .0005641 lyel .0002478 lj,ell .0000844 tyfI .00000s3 ttit .0204001 lj,inl .0004968 ut UX ud ude uée uer uin uint uel uelle uf uffe ui uie uid uis uit uits uy uir uire Conditional probability Example .360859 m oins .378246 point .260966 pouf .739034 touffe .838298 bouc .150355 souk . 0 11 3 4 8 c o u q u e .005275 pool .994725 poule .824742 groom .175258 boum .000536 croup .996535 soupe .002930 houppe .943543 tour .023173 sourd .002151 b our g .000578 courre . 0 1 7 l10 c o u r s .013446 court .004584 pouce .985022 tous .010394 ro usse .000750 scout .094647 août .850647 doute .053957 goutte .221565 grouse .775716 douze .002720 blues .904506 vu .020t40 dû .054379 grue .008295 cul .001048 jus .009827 but .001807 flux .634091 sud .365909 prude .148743 nuée .851257 tuer .989860 j uin .010140 suint .335031 duel .664969 ruelle .341614 tuf .658386 truffe .714685 l u i .001489 pluie .000068 muid .124368 puis .142033 fruit .003846 pu it s .000110 puy .68195 I fuir .318049 br uir e 515 ZIEGLER,JACOBS,AND STONT, Appendix C (Continued) Body Prior Phonology Probability lyitl tykt lyll tvpt Body Conditional Spelling Probability Example . 0 0 1 6716 uit uite .0003393 uc uque .0000962 ul ule ull ulle .0001366 upe uppe " * .2 6 6 3 36 hui t .7 3 3 6 64 sui te .747175 truc .252825 nuque .3 4 7 7 66 nul .239519 mule .034364 pull .378351 tulle .985725 jupe .014275 huppe Prior Body Phonology Probability lynl lysl Body Conditional Spelling Probability Example .0346906 ur ure .0196734 uce US lytl .0006226 ( M a n u s c r i p tr e c e i v e dO c t o b e r 1 6 , 1 9 9 5 ; r e v i s i o na c c e p t e df o r p u b l i c a t i o nF e b r u a r yI , I 9 9 6 . ) usse ut ute uth utte .510072 .489928 .001086 .987985 .010930 .065212 .382773 .005841 .546174 sur dure puce b us russe chut brute l ut h l ut t e