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                    | Agresti A. — An introduction to categorical data analysis | 
                  
                
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                    | Ïðåäìåòíûé óêàçàòåëü | 
                  
                
                    
                          statistic      29 34 89 194.See  
       96 114 156 185 194 197  
       See Linear-by-linear association  
  statistic      28 89.See  
       197  
Abortion, opinion on legalization      11—12  
Accident rates      87 100  
Adjacent categories logit      216—218 276  
Adjusted residual      31  
Adjusted residual and Pearson statistic      51—52 155 235  
Adjusted residual for independence      31 181 242—243  
Adjusted residual for Poisson GLMs      91 155—156 262 271  
Adjusted residual for symmetry      235  
Adjusted residual, binomial GLMs      118 274  
Admissions into graduate school      168—169 202  
Afterlife, belief in      17—20 46 146—149 209—211  
Agreement      242—246  
AIDS, opinion items      167—168 249  
Alcohol and infant malformation      35—38 98  
Alcohol, cigarette, and marijuana use      152—157 172 178—180  
Alligator food choice      207—209 220  
Arrests and soccer attendance      100—101  
ASE      24  
Aspirin and heart attacks      20—25 45  
Association graphs      174—180  
Astrology, belief in      46  
Automobile accident rates for elderly men and women      87 100  
Automobile accidents in Florida      169—170  
Automobile accidents in Maine      158—162 164 225  
AZT and AIDS      119—122 138  
Backward elimination      127—129 179—180 273  
Baseball and complete games      136  
Baseline-category logits      206—211  
Bayesian methods      13 51 192  
Bernoulli variable      7 74  
Binary data      19  
Binary data, dependent proportions      227—229  
Binary data, independent proportions      19—22  
Binary data, matched pairs      227—229  
Binary data, models      74—80 103—135 229—233  
Binomial distribution      7  
Binomial distribution and GLMs      74  
Binomial distribution and logistic regression      77—78  
Binomial distribution, comparing proportions      19—27 227—229  
Binomial distribution, independent binomial/multinomial sampling      19  
Binomial distribution, likelihood function      8—10 144  
Binomial distribution, mean and standard deviation      7  
Binomial distribution, overdispersion      219—220  
Binomial distribution, Poisson, connection to      99  
Binomial distribution, proportion, inference for      8—12 15  
Binomial distribution, residual      115 118  
Birth control and premarital sex      170—171 181  
Birth control and religious attendance      200—201  
Birth control opinion and political, religious, sex items      170—171  
Bradley — Terry model      246—249 256 278  
Breast cancer      48 50 138  
Breast examination and age      221  
Breslow — Day statistic      63—64 66 122 269  
British rail accidents      101  
Busing, opinion, and other racial items      169  
Cancer of larynx and radiation therapy      50  
Canonical link      73 132  
Carcinoma, diagnoses      242—246  
Case-control study      26 108 231—233 264  
Cataracts and head covering      253—254  
Categorical data analysis      1—279  
Challenger space shuttle and O-rings      135  
Chemotherapy and lung cancer      222—223  
Chi-squared distribution: df      28 32 111 154 259  
Chi-squared distribution: mean and standard deviation      28  
Chi-squared distribution: reproductive property      32 52  
Chi-squared distribution: table of percentage points      279  
Chi-squared statistics: and sparse data      34 194  
Chi-squared statistics: independence      30 52 267—269  
Chi-squared statistics: invariance to category ordering      34  
Chi-squared statistics: likelihood-ratio      28—30.See also Likelihood-ratio statistic  
Chi-squared statistics: linear trend      35 188  
Chi-squared statistics: normal components      52  
Chi-squared statistics: partitioning      32—33 52 261  
Chi-squared statistics: Pearson      28. See also Pearson chi-squared statistic  
Cholesterol and cereal      224 254  
Cholesterol and heart disease      131 132  
Cholesterol and psyllium      224 254  
Cigarettes, marijuana, and alcohol      152—157 172 178—180  
Clinical trial      27 58 192—193  
Cochran — Armitage trend test      39  
Cochran — Mantel — Haenszel test      61  
Cochran — Mantel — Haenszel test and logit models      122 186 233—234  
Cochran — Mantel — Haenszel test and marginal homogeneity      229—230 233—234  
Cochran — Mantel — Haenszel test and McNemar test      229—230  
Cochran — Mantel — Haenszel test, computer software      190 269 274—275  
Cochran — Mantel — Haenszel test, nominal variables      189—190 274  
Cochran — Mantel — Haenszel test, odds ratio estimate      62 122 231 251  
Cochran — Mantel — Haenszel test, ordinal variables      188—189 274—275  
Cochran'sQ      233 251 261  
Coding factor levels: logit models      120—121  
Coding factor levels: loglinear models      148—149  
Coffee and myocardial infarction      140  
Coffee market share      235—237 239—240  
Cohen's kappa      246 276 278  
Cohort study      27  
Cola taste testing      255  
Collapsibility      176—180  
Colon cancer and diet      250  
Comparing models      124—129 156 194 196—198  
Computer chip defects      98—99  
Conditional association      54 57 152 176  
Conditional distribution      17  
Conditional independence      58  
Conditional independence, Cochran — Mantel — Haenszel test      61 122 186 269 274—275  
Conditional independence, exact test      64—65 269  
Conditional independence, generalized CMH tests      188—190 274—275  
Conditional independence, logit models      120—122 185—186  
Conditional independence, loglinear models      151 156 173 185—187  
Conditional independence, model-based tests      156 185—190  
Conditional ML estimate      132 231 233 264  
Conditional symmetry      253  
Condoms and education      139—140  
Confounding      53 177  
Contingency table      16—17 258  
Continuation-ratio logit      218—220 276  
contrast      273  
Controlling for a variable      53 55  
Correlation      35 129 188 268  
Correspondence analysis      261  
Court assignment and juvenile rearrest      249  
Credit cards and income      98  
Cross-over experiment      250  
Cross-product ratio      23  
Cross-sectional study      27  
Crossover experiment      250  
Cumulative distribution function      78 211—212  
Cumulative logit models      211—215 223 276  
Death penalty, and racial items      54—58 67 167  
Degrees of freedom: chi-squared      23 259  
Degrees of freedom: comparing models      197  
Degrees of freedom: independence      30 259  
Degrees of freedom: logistic regression      111  
Degrees of freedom: loglinear models      154 196  
Degrees of freedom: Poisson GLM      89  
Design matrix      198  
Developmental toxicity      219—220  
Deviance      96 114 127 196  
Dfbeta      117  
Diabetes and MI for Navajo Indians      232—233  
Diagnoses of carcinoma      242—246  
Diagnostics      89—92 112—118 155—156 272  
Diarrhea and Cephalexin      134—135  
Diet and colon cancer      250  
Dissimilarity index      162 180  
 | Drug use (Dayton)      152—157 172 178—180  
Dummy variables      87 118—121 273  
Educational aspirations and income      49  
Efficient score test      see Score test  
EL50      104—105  
Elderly drivers and accidents      87 100  
Empty cells      190—193  
Environment and city spending      253  
Esophageal cancer      141  
Estimated expected frequencies      30  
Exact inference:   tables      44—45 268  
Exact inference: computer software      44 133 268—269  
Exact inference: conditional independence      64—65 269  
Exact inference: conservativeness      43—44 50  
Exact inference: Fisher's exact test      39—44 268  
Exact inference: logistic regression      132—135 272  
Exact inference: LogXact      133 267 272  
Exact inference: odds ratios      44 66 269  
Exact inference: ordinal data      45 268  
Exact inference: StatXact      44 65 267 268 269  
Exact inference: trend in proportions      45  
Expected frequency      27 30  
Explanatory variable      2   
Exponential family      97  
Exponential function (exp)      4 103  
Extramarital sex and premarital sex      238—239 241—242  
Factor      118 120—121 272  
Fisher scoring      94 260 264  
Fisher's Exact Test      39—44 268—269  
Fisher, R.A.      40 259—261 265  
Fitted values      76 84  
Four-way tables      158—162 164—166 175 178—180  
Gender gap and party identification      30—33  
General estimating equations      264  
General Social Survey      11  
Generalized additive model      106  
Generalized CMH tests      188—190 274—275  
Generalized linear model      72—73  
Generalized linear model, binomial (binary) data      74—80 103—135  
Generalized linear model, computer software      269—271  
Generalized linear model, link functions      73 269  
Generalized linear model, normal data      73—74 97  
Generalized linear model, Poisson (count) data      80—93 145—167  
Geometric distribution      14  
Ghosts, belief in      46  
GLM      See Generalized linear model  
Goodman, Leo      262  
Goodness-of-fit statistics: continuous predictors      89—90 112—114  
Goodness-of-fit statistics: deviance      96 114 127  
Goodness-of-fit statistics: likelihood-ratio chi-squared      89 114—115 196  
Goodness-of-fit statistics: logistic regression      112—115 142  
Goodness-of-fit statistics: loglinear models      154—157 196  
Goodness-of-fit statistics: Pearson chi-squared      89 196 260  
Goodness-of-fit statistics: Poisson GLMs      89—92 196  
Government spending      171—172 199—200 253  
Graduate admissions and gender      168—169 202  
Graduation rates for athletes      138  
Graphical association      174—180 264  
Guns in home      14  
Hat matrix      117  
Health and law enforcement spending      253  
Heart attacks and aspirin      20—25 45  
Heart attacks and smoking      25—27  
Heart disease and snoring      75—80  
Heterogeneous linear-by-linear association      203  
Hierarchical models      150  
history      257—265  
HIV and early AZT      119—122 138  
HIV diagnostic test      51  
Homogeneity of odds ratios      59 63—64 66 122 269  
Homogeneous association      59—60 63 66 260 269  
Homogeneous association, logit models      120—122 163 177  
Homogeneous association, loglinear models      151—152 158 163 185  
Homogeneous linear-by-linear association      187—188 203 224  
Horseshoe crabs and satellites      81—93 99—100 105—107 112—118 122—129 137—138 142—144  
Hosmer — Lemeshow test      113—114 273  
Human suffering by region      222  
Hypergeometric distribution      39—40  
Identity link      73  
Identity link, binary data      74—76  
Identity link, count data      85 101 102  
Incomplete table      191  
Independence      18 30  
Independence, chi-squared test      30 267—268  
Independence, conditional independence      58 151 185—190 269  
Independence, exact tests      39—45 268  
Independence, logit models      109—110 214—215 217  
Independence, loglinear model      145—148 184—185  
Independence, nominal test      188—190  
Independence, ordinal tests      34—39 184—185 188—189 215 217  
Infant malformation and alcohol      35—38 98  
Infinite parameter estimate: logistic regression      133—135 191—193 204  
Infinite parameter estimate: loglinear model      191—193 203  
Influence      92 117 272  
Information matrix      94 198  
Interaction      59 128—129 141 151 262  
Iterative model fitting      93—94 195—196  
Job discrimination      65—66 69 70  
Job satisfaction and income      49 186—190 202 218 223  
Joint distribution      17  
Journal prestige rankings      255  
Juveniles, court assignment, and rearrest      249  
Kappa      246 276 278  
Kruskal — Wallis test      189  
Kyphosis and age      136  
Leverage      91 117  
Likelihood equations      14—15 195  
Likelihood function      8—9 88 94—95  
Likelihood-ratio statistic      28—29 88—89  
Likelihood-ratio statistic and sample size      194  
Likelihood-ratio statistic, chi-squared distribution      28 196  
Likelihood-ratio statistic, comparing models      114—115 156 185 194 196—198  
Likelihood-ratio statistic, degrees of freedom      28  
Likelihood-ratio statistic, deviance      96—114  
Likelihood-ratio statistic, generalized linear model      96  
Likelihood-ratio statistic, goodness of fit      89 113—115 196  
Likelihood-ratio statistic, logistic regression      109  
Likelihood-ratio statistic, loglinear models      154  
Likelihood-ratio statistic, partitioning      32—33 198  
Linear predictor      72  
Linear probability model      74—76 270  
Linear trend in proportions      34—39 74—76  
Linear-by-linear association      182—185 187—188 201 217 274  
Link function      72—73 269  
Link function, canonical      73 132  
Link function, identity      73  
Link function, log      73 80  
Link function, logit      73  
Link function, probit      79—80  
Local odds ratio      183  
LOG function      4  
Log link      73 80  
Logistic distribution      78 144  
Logistic regression      77—79 103—135 229—234  
Logistic regression and case-control studies      108 231—233  
Logistic regression and normal distributions      108  
Logistic regression, comparing models      124—129 144 196—198  
Logistic regression, computer software      269—273  
Logistic regression, degrees of freedom      111  
Logistic regression, diagnostics      117—118  
Logistic regression, exact      132—135  
Logistic regression, GLM with binomial data      77—79  
Logistic regression, goodness of fit      111—118 142  
Logistic regression, inference      109—111 185—186 195—199  
Logistic regression, infinite ML estimates      133—135 191—193 204  
Logistic regression, interpretation      103—108  
Logistic regression, linear approximation      104 109  
Logistic regression, matched pairs      229—233  
Logistic regression, median effective level      104—105  
Logistic regression, model selection      126—129 165—167  
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