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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
Logistic regression, multiple      122—129
Logistic regression, probability estimates      106—107 110—111 208 211 275
Logistic regression, quadratic term      108 136
Logistic regression, qualitative predictors      118—129
Logistic regression, residuals      115—118 274
Logistic regression, sample size and power      269—273
Logistic-normal model      231
logit      73 77—78 261
Logit models: adjacent-categories      216—218
Logit models: as generalized linear model      73
Logit models: baseline-category      206—211
Logit models: continuation-ratio      218—220
Logit models: cumulative      211—216
Logit models: linear trend      77—78 104 125 212 216
Logit models: loglinear models, equivalence      162—165 211
Logit models: matched pairs      229—233
Logit models: qualitative predictors      118—125
Loglinear models      73 80—93 145—167 174—199
Loglinear models as GLM with Poisson data      73 80 145—147
Loglinear models, (XY, XZ, YZ)      151 156 163 176—177 185
Loglinear models, (XZ, YZ)      151 154 156 176—177 185 195
Loglinear models, association graphs      175—180
Loglinear models, comparing models      156 185 194 196—198
Loglinear models, computer software      270 273—274
Loglinear models, degrees of freedom      154 196
Loglinear models, four-way tables      158—162
Loglinear models, goodness of fit      154—157 196
Loglinear models, homogeneous association      151 158 163 185
Loglinear models, independence      145—148
Loglinear models, inference      154—158 185—188 195—199
Loglinear models, logit models, equivalence      147 162—165 211
Loglinear models, model selection      165—167 178—180
Loglinear models, no three-factor interaction      151. See also Homogeneous association
Loglinear models, odds ratios      107—108 149 152 157 160
Loglinear models, residuals      91 155—156 181 242—243 268
Loglinear models, saturated      148—149
Loglinear models, three-way tables      150—158 176—177 185—188
LogXact      133 194 203 264 272
Lung cancer and chemotherapies      222—223
Lung cancer and smoking      45—46 47 60—63 68 139 168
Lung cancer meta analysis      60—62
Lymphocytic infiltration      203—204
Mammography      49 221
Mann — Whitney test      38
Mantel — Haenszel estimator      62 122 231 251
Mantel — Haenszel test      See Cochran — Mantel — Haenszel test
Marginal association      57—59 153 176—180
Marginal distribution      17 57—58
Marginal homogeneity      227 234 239—242
Marginal maximum likelihood      231
Marginal table      54 57
Marginal table, same association as partial table      176—180
Marijuana, cigarette, and alcohol use      152—157 172 178—180
Matched pairs      226—249
Matched pairs, CMH approach      229—231
Matched pairs, dependent proportions      227—229
Matched pairs, logit model      230—233
Matched pairs, McNemar test      227—228
Matched pairs, odds ratio estimate      231—233 251
Matched pairs, ordinal data      237—242
Matched pairs, Rasch model      233
Maximum likelihood      8—10
McNemar test      227—228 229—230 231 249
Measures of association: difference in proportions      20 227—229
Measures of association: kappa      246
Measures of association: odds ratio      22
Measures of association: relative risk      21—22
Mental impairment, life events, and SES      221—222
Meta analysis      62
Meta analysis of lung cancer      60—62
Mice and developmental toxicity      219—220
Mid P-value      43—44 50
Midranks      37 188 189
Migraine headaches      68
Missing people      138—139
Mixed model      231
ML      See Maximum likelihood
Mobility, residential      252
Model matrix      198
Model selection      126—129 165—167 178—180
Motorway accidents, Ml      4—8
Multicollinearity      126
Multinomial distribution      8 205
Multinomial logit model      206
Multinomial sampling      8 19 205
Multiple correlation      129
Multiple sclerosis diagnoses      254
Murder rates      47 67
Mutual independence      151
Myocardial infarction and aspirin      20—25 45
Myocardial infarction and coffee      140
Myocardial infarction and diabetes      232—233
Myocardial infarction and smoking      25—27 136—137
Natural parameter      73
NCAA athlete graduation rates      138
Nested models      196
Newton — Raphson algorithm      93—94 195—196
No three-factor interaction      151.See also Homogeneous association
Nominal response variables      2—3 188—190 205—211 234—237 239—240 242—246
Normal distribution      73—74 97
Observational study      27
Odds      22 107
Odds ratio      22 258
Odds ratio and logistic regression models      107—108
Odds ratio and loglinear models      149 152 157 160
Odds ratio and relative risk      25—27 142
Odds ratio and zero counts      25 191—192
Odds ratio with case-control data      25—27 108 232—233
Odds ratio with retrospective data      25—27 232—233
Odds ratio, ASE      24
Odds ratio, bias      25 191
Odds ratio, conditional      57 59 61—64 152 176
Odds ratio, confidence intervals      24 44 66 157 269
Odds ratio, exact inference      44 64—66 269
Odds ratio, homogeneity, in $2 \times 2 \times K$ tables      63—64 66 122 269
Odds ratio, invariance properties      23
Odds ratio, local      183
Odds ratio, Mantel — Haenszel estimate      62 122 231
Odds ratio, matched pairs      231
Offset      86 271
Ordinal data      2—3
Ordinal data in logit models      211—220
Ordinal data in loglinear models      182—185 187—188
Ordinal data, exact tests      45 268
Ordinal data, marginal homogeneity      240—242
Ordinal data, ordinal versus nominal treatment of data      36—37 49
Ordinal data, quasi symmetry      237—241
Ordinal data, scores, choice of      37—38 184
Ordinal data, testing independence      34—39 184—185 187—188
Ordinal data, trend in proportions      34—39
Ordinal quasi symmetry      237—241 277—278
Osteosarcoma      203—204
Overdispersion      5 219—220
P-value and Type I error probability      41—43
Paired comparisons      246—249
Parameter constraints      120—121 148—149
Partial association      54 57
Partial association, partial table      54
Partial association, same as marginal association      176—180
Partitioning chi-squared      32—33 52 198 261
Passive smoking and lung cancer      68
Pathologist diagnoses      242—246
Pearson chi-squared statistic      28 89
Pearson chi-squared statistic and residuals      51 91 115 155 196
Pearson chi-squared statistic, chi-squared distribution      28 196
Pearson chi-squared statistic, comparing models      197—198
Pearson chi-squared statistic, degrees of freedom      28 111 154 196
Pearson chi-squared statistic, exact test      42—45
Pearson chi-squared statistic, goodness of fit      89 113 154 196
Pearson chi-squared statistic, independence      30 52
Pearson chi-squared statistic, loglinear model      154 196
Pearson chi-squared statistic, sample size for chi-squared approximation      34 194
Pearson chi-squared statistic, sample size, influence on statistic      34 52
Pearson chi-squared statistic, two-by-two tables      52
Pearson residual      51 91
Pearson residual, Binomial GLM      115 274
Pearson residual, independence      51
Pearson residual, Poisson GLM      91 156 196 271
Pearson, Karl      257—260
Poisson distribution      4
Poisson distribution, binomial, connection with      99
Poisson distribution, mean and standard deviation      5
Poisson distribution, overdispersion      5
Poisson distribution, Poisson loglinear model      80—93 145—167 198
Poisson distribution, Poisson regression      80—93
Poisson distribution, Poisson sampling      5—6 18
Poisson distribution, residuals      91 155—156
Poisson regression      80—93
Poisson regression, computer software      270
Poisson regression, degrees of freedom      89
Poisson regression, goodness of fit      89—93
Poisson regression, identity link      85 101 102
Poisson regression, interaction      102
Poisson regression, loglinear model      80—84 145—167 198
Poisson regression, rate data      86—87 99
Political ideology and party affiliation      201—203 213—215 217
Political party and gender      30—33
Political party and race      48
Political views, religious attendance, sex, and birth control      170—171
Polychotomous models      205—211
Popularity of prime minister      226—229
Power      130—132
Practical vs. statistical significance      52 161—162
Premarital sex and birth control      181
Premarital sex and extramarital sex      238—239 241—242
Presidential voting and racial items      169
Prime minister's performance      226—229
Probability estimates      106—107 110—111 208 211 275
Probit model      79—80 144 270 272
Profile likelihood      272
Promotion discrimination      65—66 69 70
Proportional odds model      212—216 241—242 264 276
Proportions: as sample mean      10
Proportions: Bayesian estimate      13
Proportions: dependent      227—229
Proportions: difference of      20 227—229
Proportions: estimating using models      106—107 110—111 208 211 275
Proportions: independent      20
Proportions: inference      10—12 15
Proportions: ratio of (relative risk)      21—22
Proportions: standard error      10
Psychiatric diagnosis and drugs      48
Psyllium and cholesterol      224 254
Quasi independence      243—244 277
Quasi symmetry      235—241 244—245 248 253 256 262 277—278
Racial opinion items      169
Radiation therapy and cancer      50
Random component (GLM)      72
Random effect      231
Ranks      37 38 188 189
Rasch model      233 241 261
Rater agreement      242—246
Rates      86—87 99 100 101
Reincarnation, belief in      14
Relative risk      21—22
Relative risk and odds ratio      25—27 142
Relative risk, confidence interval      47
Religious attendance      170—171 200—201
Religious mobility      251—252
Residential mobility      252
Residuals: adjusted      31 91 118 155—156 271
Residuals: binomial GLM      115—118
Residuals: deviance      96
Residuals: independence      31 181 242—243 268
Residuals: Pearson      51 91 115 156 196 271
Residuals: PoissonGLM      91 155—156
Residuals: standardized      91
Response variable      2 166
Retrospective study      26 231—233
Ridits      275
Russian roulette (Graham Greene)      13
Sample size determination      130—132
Sampling      3—8 18—19
Sampling zero      191
SAS: CATMOD      274—276
SAS: CMH methods      190 268—269 274—275
SAS: FREQ      190 267—269
SAS: GENMOD      269—274 277—278
SAS: LOGISTIC      270—273
SAS: logistic regression      270—273
SAS: loglinear models      273—274
SAS: Poisson regression      270—271
SAS: two-way tables      267—269
Saturated model: generalized linear model      96
Saturated model: logistic regression      114
Saturated model: loglinear models      148—149
Score test      89 94—95
Scores, choice of      37—38 184
Seat belt and death      169—170
Seat belt and injury      47 158—162 225
Sensitivity      51
Sex opinions      252
Sexual intercourse and gender and race      138
Significance, statistical versus practical      52 161—162
Silicon wafer defects      98—99
Simpson's paradox      57 67 258
Small samples: $X^2$ and $G^2$      34 194
Small samples: adding constants to cells      25 191—192
Small samples: exact inference      39—45 64—66 132—135
Small samples: infinite parameter estimates      133—135 191—193 203—204
Small samples: zero counts      134 190—192
Smoking and lung cancer      45—46 47 60—63 139 168
Smoking and myocardial infarction      25—27 136—137
Snoring and heart disease      75—80
Soccer attendance and arrests      100—101
Soccer odds      46
Space shuttle and O-ring failure      135
Sparse tables      190—194
Spearman's rho      38
Specificity      51
SPSS      267 268 271 274 276 278
Square tables      226—249
Standardized regression coefficient      142
Standardized residuals      see Pearson residuals
StatXact      44 65 194 264 268 269
Stepwise model-building      127—129 179—180 273
Strokes and aspirin      45
Structural zero      191
Subject-specific effect      231 241
Sufficient statistics      195 204
Symmetry      227 234—235 239—241 253 277—278
Systematic component (GLM)      72
Tea tasting      40—44
Teen sex and premarital sex      181 252
Teenage birth control and religious attendance      200—201
Tennis rankings      246—248 255
Tetrachoric correlation      258
Three-factor interaction      151 160—162 164
Three-way tables      53—66 150—158 176—177 185—190
Tolerance distribution      79
Trains and collisions      101
Trend test      34—39 143 188 268
Uniform association model      183
Wald statistic      88 109
Weighted least squares      261 264 276
Wilcoxon test      38
Women tennis players      246—248
Yates continuity correction      43
Yule's Q      258
Yule, G.Udny      258—259
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