J. SCOTT LONG
Indiana University
Bloomington, Indiana
JEREMY FREESE
University of Wisconsin-Madison
Madison, Wisconsin
p337 PDF
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[/UseMoney]
Contents
Preface xv
I General Information 1
1 Introduction 3
1.1 What is this book about? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.2 Which models are considered? . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.3 Who is this book for? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.4 How is the book organized? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.5 What software do you need? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.5.1 Updating Stata 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.5.2 Installing SPost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
1.5.3 What if commands do not work? . . . . . . . . . . . . . . . . . . . . . . . 10
1.5.4 Uninstalling SPost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.5.5 Additional files available on the web site . . . . . . . . . . . . . . . . . . 11
1.6 Where can I learn more about the models? . . . . . . . . . . . . . . . . . . . . . . 11
2 Introduction to Stata 13
2.1 The Stata interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.2 Abbreviations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.3 How to get help . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.3.1 On-line help . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.3.2 Manuals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.3.3 Other resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.4 The working directory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
2.5 Stata file types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
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viii Contents
2.6 Saving output to log files . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2.6.1 Closing a log file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2.6.2 Viewing a log file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.6.3 Converting from SMCL to plain text or PostScript . . . . . . . . . . . . . 21
2.7 Using and saving datasets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.7.1 Data in Stata format . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2.7.2 Data in other formats . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
2.7.3 Entering data by hand . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
2.8 Size limitations on datasets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.9 do-files . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
2.9.1 Adding comments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
2.9.2 Long lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
2.9.3 Stopping a do-file while it is running . . . . . . . . . . . . . . . . . . . . . 25
2.9.4 Creating do-files . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
2.9.5 A recommended structure for do-files . . . . . . . . . . . . . . . . . . . . 26
2.10 Using Stata for serious data analysis . . . . . . . . . . . . . . . . . . . . . . . . . 27
2.11 The syntax of Stata commands . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
2.11.1 Commands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
2.11.2 Variable lists . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
2.11.3 if and in qualifiers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
2.11.4 Options . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
2.12 Managing data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
2.12.1 Looking at your data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
2.12.2 Getting information about variables . . . . . . . . . . . . . . . . . . . . . 33
2.12.3 Selecting observations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
2.12.4 Selecting variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
2.13 Creating new variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
2.13.1 generate command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
2.13.2 replace command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
2.13.3 recode command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
2.13.4 Common transformations for RHS variables . . . . . . . . . . . . . . . . . 39
2.14 Labeling variables and values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
2.14.1 Variable labels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
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Contents ix
2.14.2 Value labels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
2.14.3 notes command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
2.15 Global and local macros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
2.16 Graphics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
2.16.1 The graph command . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
2.16.2 Printing graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
2.16.3 Combining graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
2.17 A brief tutorial . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
3 Estimation, Testing, Fit, and Interpretation 63
3.1 Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
3.1.1 Stata¡ˉs output for ML estimation . . . . . . . . . . . . . . . . . . . . . . . 64
3.1.2 ML and sample size . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
3.1.3 Problems in obtaining ML estimates . . . . . . . . . . . . . . . . . . . . . 65
3.1.4 The syntax of estimation commands . . . . . . . . . . . . . . . . . . . . . 66
3.1.5 Reading the output . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
3.1.6 Reformatting output with outreg . . . . . . . . . . . . . . . . . . . . . . . 72
3.1.7 Alternative output with listcoef . . . . . . . . . . . . . . . . . . . . . . . . 73
3.2 Post-estimation analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
3.3 Testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
3.3.1 Wald tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
3.3.2 LR tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
3.4 Measures of fit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
3.5 Interpretation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87
3.5.1 Approaches to interpretation . . . . . . . . . . . . . . . . . . . . . . . . . 90
3.5.2 Predictions using predict . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
3.5.3 Overview of prvalue, prchange, prtab, and prgen . . . . . . . . . . . . . . 91
3.5.4 Syntax for prchange . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
3.5.5 Syntax for prgen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
3.5.6 Syntax for prtab . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
3.5.7 Syntax for prvalue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
3.5.8 Computing marginal effects using mfx compute . . . . . . . . . . . . . . . 96
3.6 Next steps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
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x Contents
II Models for Specific Kinds of Outcomes 97
4 Models for Binary Outcomes 99
4.1 The statistical model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
4.1.1 A latent variable model . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
4.1.2 A nonlinear probability model . . . . . . . . . . . . . . . . . . . . . . . . 103
4.2 Estimation using logit and probit . . . . . . . . . . . . . . . . . . . . . . . . . . . 103
4.2.1 Observations predicted perfectly . . . . . . . . . . . . . . . . . . . . . . . 107
4.3 Hypothesis testing with test and lrtest . . . . . . . . . . . . . . . . . . . . . . . . 107
4.3.1 Testing individual coefficients . . . . . . . . . . . . . . . . . . . . . . . . 108
4.3.2 Testing multiple coefficients . . . . . . . . . . . . . . . . . . . . . . . . . 110
4.3.3 Comparing LR and Wald tests . . . . . . . . . . . . . . . . . . . . . . . . 112
4.4 Residuals and influence using predict . . . . . . . . . . . . . . . . . . . . . . . . . 112
4.4.1 Residuals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
4.4.2 Influential cases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116
4.5 Scalar measures of fit using fitstat . . . . . . . . . . . . . . . . . . . . . . . . . . 117
4.6 Interpretation using predicted values . . . . . . . . . . . . . . . . . . . . . . . . . 119
4.6.1 Predicted probabilities with predict . . . . . . . . . . . . . . . . . . . . . 120
4.6.2 Individual predicted probabilities with prvalue . . . . . . . . . . . . . . . 122
4.6.3 Tables of predicted probabilities with prtab . . . . . . . . . . . . . . . . . 124
4.6.4 Graphing predicted probabilities with prgen . . . . . . . . . . . . . . . . . 125
4.6.5 Changes in predicted probabilities . . . . . . . . . . . . . . . . . . . . . . 127
4.7 Interpretation using odds ratios with listcoef . . . . . . . . . . . . . . . . . . . . . 132
4.8 Other commands for binary outcomes . . . . . . . . . . . . . . . . . . . . . . . . 136
5 Models for Ordinal Outcomes 137
5.1 The statistical model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
5.1.1 A latent variable model . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
5.1.2 A nonlinear probability model . . . . . . . . . . . . . . . . . . . . . . . . 141
5.2 Estimation using ologit and oprobit . . . . . . . . . . . . . . . . . . . . . . . . . . 141
5.2.1 Example of attitudes toward working mothers . . . . . . . . . . . . . . . . 142
5.2.2 Predicting perfectly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145
5.3 Hypothesis testing with test and lrtest . . . . . . . . . . . . . . . . . . . . . . . . 145
5.3.1 Testing individual coefficients . . . . . . . . . . . . . . . . . . . . . . . . 146
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Contents xi
5.3.2 Testing multiple coefficients . . . . . . . . . . . . . . . . . . . . . . . . . 147
5.4 Scalar measures of fit using fitstat . . . . . . . . . . . . . . . . . . . . . . . . . . 148
5.5 Converting to a different parameterization. . . . . . . . . . . . . . . . . . . . . . 148
5.6 The parallel regression assumption . . . . . . . . . . . . . . . . . . . . . . . . . . 150
5.7 Residuals and outliers using predict . . . . . . . . . . . . . . . . . . . . . . . . . 152
5.8 Interpretation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154
5.8.1 Marginal change in y. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154
5.8.2 Predicted probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155
5.8.3 Predicted probabilities with predict . . . . . . . . . . . . . . . . . . . . . 156
5.8.4 Individual predicted probabilities with prvalue . . . . . . . . . . . . . . . 157
5.8.5 Tables of predicted probabilities with prtab . . . . . . . . . . . . . . . . . 158
5.8.6 Graphing predicted probabilities with prgen . . . . . . . . . . . . . . . . . 159
5.8.7 Changes in predicted probabilities . . . . . . . . . . . . . . . . . . . . . . 162
5.8.8 Odds ratios using listcoef . . . . . . . . . . . . . . . . . . . . . . . . . . . 165
5.9 Less common models for ordinal outcomes . . . . . . . . . . . . . . . . . . . . . 168
5.9.1 Generalized ordered logit model . . . . . . . . . . . . . . . . . . . . . . . 168
5.9.2 The stereotype model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169
5.9.3 The continuation ratio model . . . . . . . . . . . . . . . . . . . . . . . . . 170
6 Models for Nominal Outcomes 171
6.1 The multinomial logit model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172
6.1.1 Formal statement of the model . . . . . . . . . . . . . . . . . . . . . . . . 175
6.2 Estimation using mlogit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175
6.2.1 Example of occupational attainment . . . . . . . . . . . . . . . . . . . . . 177
6.2.2 Using different base categories . . . . . . . . . . . . . . . . . . . . . . . . 178
6.2.3 Predicting perfectly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180
6.3 Hypothesis testing of coefficients . . . . . . . . . . . . . . . . . . . . . . . . . . . 180
6.3.1 mlogtest for tests of the MNLM . . . . . . . . . . . . . . . . . . . . . . . 181
6.3.2 Testing the effects of the independent variables . . . . . . . . . . . . . . . 181
6.3.3 Tests for combining dependent categories . . . . . . . . . . . . . . . . . . 184
6.4 Independence of irrelevant alternatives . . . . . . . . . . . . . . . . . . . . . . . . 188
6.5 Measures of fit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191
6.6 Interpretation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191
6.6.1 Predicted probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191
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xii Contents
6.6.2 Predicted probabilities with predict . . . . . . . . . . . . . . . . . . . . . 192
6.6.3 Individual predicted probabilities with prvalue . . . . . . . . . . . . . . . 193
6.6.4 Tables of predicted probabilities with prtab . . . . . . . . . . . . . . . . . 194
6.6.5 Graphing predicted probabilities with prgen . . . . . . . . . . . . . . . . . 195
6.6.6 Changes in predicted probabilities . . . . . . . . . . . . . . . . . . . . . . 198
6.6.7 Plotting discrete changes with prchange and mlogview . . . . . . . . . . . 200
6.6.8 Odds ratios using listcoef and mlogview . . . . . . . . . . . . . . . . . . . 203
6.6.9 Using mlogplot. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 208
6.6.10 Plotting estimates from matrices with mlogplot. . . . . . . . . . . . . . . 209
6.7 The conditional logit model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213
6.7.1 Data arrangement for conditional logit . . . . . . . . . . . . . . . . . . . . 214
6.7.2 Estimating the conditional logit model . . . . . . . . . . . . . . . . . . . . 214
6.7.3 Interpreting results from clogit . . . . . . . . . . . . . . . . . . . . . . . . 215
6.7.4 Estimating the multinomial logit model using clogit. . . . . . . . . . . . . 217
6.7.5 Using clogit to estimate mixed models. . . . . . . . . . . . . . . . . . . . 219
7 Models for Count Outcomes 223
7.1 The Poisson distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 223
7.1.1 Fitting the Poisson distribution with poisson . . . . . . . . . . . . . . . . . 224
7.1.2 Computing predicted probabilities with prcounts . . . . . . . . . . . . . . 226
7.1.3 Comparing observed and predicted counts with prcounts . . . . . . . . . . 227
7.2 The Poisson regression model . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229
7.2.1 Estimating the PRM with poisson . . . . . . . . . . . . . . . . . . . . . . 230
7.2.2 Example of estimating the PRM . . . . . . . . . . . . . . . . . . . . . . . 231
7.2.3 Interpretation using the rate ¥ì . . . . . . . . . . . . . . . . . . . . . . . . 232
7.2.4 Interpretation using predicted probabilities . . . . . . . . . . . . . . . . . 237
7.2.5 Exposure time. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 241
7.3 The negative binomial regression model . . . . . . . . . . . . . . . . . . . . . . . 243
7.3.1 Estimating the NBRM with nbreg . . . . . . . . . . . . . . . . . . . . . . 244
7.3.2 Example of estimating the NBRM . . . . . . . . . . . . . . . . . . . . . . 245
7.3.3 Testing for overdispersion . . . . . . . . . . . . . . . . . . . . . . . . . . 246
7.3.4 Interpretation using the rate ¥ì . . . . . . . . . . . . . . . . . . . . . . . . 247
7.3.5 Interpretation using predicted probabilities . . . . . . . . . . . . . . . . . 248
7.4 Zero-inflated count models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250
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Contents xiii
7.4.1 Estimation of zero-inflated models with zinb and zip . . . . . . . . . . . . 253
7.4.2 Example of estimating the ZIP and ZINB models . . . . . . . . . . . . . . 253
7.4.3 Interpretation of coefficients . . . . . . . . . . . . . . . . . . . . . . . . . 254
7.4.4 Interpretation of predicted probabilities . . . . . . . . . . . . . . . . . . . 255
7.5 Comparisons among count models . . . . . . . . . . . . . . . . . . . . . . . . . . 258
7.5.1 Comparing mean probabilities . . . . . . . . . . . . . . . . . . . . . . . . 258
7.5.2 Tests to compare count models . . . . . . . . . . . . . . . . . . . . . . . . 260
8 Additional Topics 263
8.1 Ordinal and nominal independent variables . . . . . . . . . . . . . . . . . . . . . 263
8.1.1 Coding a categorical independent variable as a set of dummy variables . . . 263
8.1.2 Estimation and interpretation with categorical independent
variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265
8.1.3 Tests with categorical independent variables . . . . . . . . . . . . . . . . . 266
8.1.4 Discrete change for categorical independent variables . . . . . . . . . . . . 270
8.2 Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271
8.2.1 Computing gender differences in predictions with interactions . . . . . . . 272
8.2.2 Computing gender differences in discrete change with interactions . . . . . 273
8.3 Nonlinear nonlinear models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 274
8.3.1 Adding nonlinearities to linear predictors . . . . . . . . . . . . . . . . . . 275
8.3.2 Discrete change in nonlinear nonlinear models . . . . . . . . . . . . . . . 276
8.4 Using praccum and forvalues to plot predictions . . . . . . . . . . . . . . . . . . . 278
8.4.1 Example using age and age-squared . . . . . . . . . . . . . . . . . . . . . 278
8.4.2 Using forvalues with praccum . . . . . . . . . . . . . . . . . . . . . . . . 281
8.4.3 Using praccum for graphing a transformed variable . . . . . . . . . . . . . 282
8.4.4 Using praccum to graph interactions . . . . . . . . . . . . . . . . . . . . . 283
8.5 Extending SPost to other estimation commands . . . . . . . . . . . . . . . . . . . 284
8.6 Using Stata more efficiently . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 285
8.6.1 profile.do . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 285
8.6.2 Changing screen fonts and window preferences . . . . . . . . . . . . . . . 286
8.6.3 Using ado-files for changing directories . . . . . . . . . . . . . . . . . . . 286
8.6.4 me.hlp file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287
8.6.5 Scrolling in the Results Window in Windows . . . . . . . . . . . . . . . . 288
8.7 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 288
This book is for use by faculty, students, staff, and guests of UCLA, and is not to be distributed,
either electronically or in printed form, to others.
xiv Contents
A Syntax for SPost Commands 289
A.1 brant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289
A.2 fitstat . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291
A.3 listcoef . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 294
A.4 mlogplot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297
A.5 mlogtest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300
A.6 mlogview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304
A.7 Overview of prchange, prgen, prtab, and prvalue . . . . . . . . . . . . . . . . . . . 306
A.8 praccum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 307
A.9 prchange . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 310
A.10 prcounts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313
A.11 prgen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315
A.12 prtab . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317
A.13 prvalue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320
B Description of Datasets 323
B.1 binlfp2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323
B.2 couart2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324
B.3 gsskidvalue2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324
B.4 nomocc2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325
B.5 ordwarm2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 326
B.6 science2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327
B.7 travel2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 329
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331
Author index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Applied Econometrics using MATLAB
http://www.pinggu.org/bbs/thread-153232-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-153232-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-153232-1-1.html
Risk Analysis in Finance and Insurance
http://www.pinggu.org/bbs/thread-153240-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-153240-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-153240-1-1.html
Financial and Actuarial Statistics An Introduction
http://www.pinggu.org/bbs/thread-153242-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-153242-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-153242-1-1.html
The Mathematics of Money Management Risk Analysis Techniques for Traders
http://www.pinggu.org/bbs/thread-159522-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-159522-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-159522-1-1.html
Introduction to Statistics Through Resampling Methods and Microsoft Office Excel
http://www.pinggu.org/bbs/thread-159531-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-159531-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-159531-1-1.html
Numerical Analysis using Matlab and Spreadsheet
http://www.pinggu.org/bbs/thread-160747-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-160747-1-1.html" target="_blank" >http://www.pinggu.org/bbs/thread-160747-1-1.html