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Agresti A. — An introduction to categorical data analysis
Agresti A. — An introduction to categorical data analysis



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Íàçâàíèå: An introduction to categorical data analysis

Àâòîð: Agresti A.

Àííîòàöèÿ:

Concise, complete, nontechnical—the ideal introduction to an increasingly important topic In recent years, the use of statistical methods for categorical data has increased dramatically in a variety of areas and applications. This book provides an applied introduction to the most important methods for analyzing categorical data.


ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/Âåðîÿòíîñòü/Ñòàòèñòèêà è ïðèëîæåíèÿ/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1996

Êîëè÷åñòâî ñòðàíèö: 290

Äîáàâëåíà â êàòàëîã: 22.05.2005

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
$G^2$ statistic      29 34 89 194.See
$G^2(M_0 | M_1)$      96 114 156 185 194 197
$L \times L$      See Linear-by-linear association
$X^2$ statistic      28 89.See
$X^2(M_0 | M_1)$      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: $I \times J$ 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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