Statistics for social data analysis
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Itasca, Ill.
Peacock
1988
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| Ausgabe: | 2. ed. |
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| 245 | 1 | 0 | |a Statistics for social data analysis |c George W. Bohrnstedt ; David Knoke |
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Datensatz im Suchindex
| _version_ | 1819674301898424320 |
|---|---|
| adam_text | Statistics for
Social Data
Analysis
SECOND EDITION
GEORGE W BOHRNSTEDT
INDIANA UNIVERSITY
DAVID KNOKE
UNIVERSITY OF MINNESOTA
F E PEACOCK PUBLISHERS, INC ITASCA, ILLINOIS
Abbreviated Contents
Preface xv
1 The Social Research Process 1
2 Frequency Distributions 27
3 Describing Frequency Distributions 65
4 Crosstabulation 101
5 Statistical Inference and Hypothesis Testing 135
6 Testing for the Difference between Two Means 187
7 Testing for the Difference between Several Means 219
8 Estimating Relations between Two Continuous
Variables: Bivariate Regression and Correlation 253
9 Measuring Association with Discrete Variables 305
10 The Logic of Multivariate Contingency Analysis 349
11 Multiple Regression Analysis 381
12 Causal Models and Path Analysis 431
Appendices 467
Glossary of Terms 489
List of Mathematical and Statistical Symbols 503
Answers to Problems 511
Index 547
Contents
PREFACE xv
1 THE SOCIAL RESEARCH PROCESS 1
1 1 What, Exactly, Is a Theory? 3
1 2 Theoretical Propositions and Operational Hypotheses 6
1 3 Independent and Dependent Variables 8
1 4 Rejecting Hypotheses 10
1 5 Operationalization 12
1 6 Measurement 14
1 7 Statistical Tests 17
171 Descriptive statistics 17
172 Measures of association 17
173 Inference 19
1 8 Completing the Research Cycle 20
Review of Key Concepts 21
Problems 22
2 FREQUENCY DISTRIBUTIONS 27
2 1 Constructing a Frequency Distribution 27
211 Percentage frequency distributions 28
2 2 Frequency Distributions for Discrete Measures 32
221 Techniques for displaying data: Tables and bar charts 35
2 3 Frequency Distributions for Orderable Discrete Variables 39
231 Techniques for displaying data: Histograms and polygons 40
vii
viii STATISTICS FOR SOCIAL DATA ANALYSIS
2 4 Frequency Distributions for Continuous Measures 43
241 Grouping data in measurement classes 44
242 Rounding 45
243 True limits and midpoints 46
2 5 Cumulative Distributions 49
2 6 Percentiles 51
2 7 Quantiles 54
2 8 Grouping Error 55
Review of Key Concepts 56
Problems 57
3 DESCRIBING FREQUENCY DISTRIBUTIONS 65
3 1 Measures of Central Tendency 66
311 Mode 66
312 Median 67
313 Mean 70
3 2 Measures of Variation 75
321 Index of diversity 75
322 Index of qualitative variation 76
323 Range 78
324 Average deviation 80
325 Variance and standard deviation 81
33Z Scores 83
3 4 Exploratory Data Analysis Methods for Displaying Continuous Data 85
3 5 The Coefficient of Relative Variation 90
Review of Key Concepts 91
Problems 92
4 CROSSTABULATION 101
4 1 Bivariate Crosstabulation 101
411 An example: Political choices and social characteristics 104
4 2 Population Inference from Samples 109
4 3 Probability and Null Hypotheses 111
431 Type I and Type II errors 113
4 4 Chi Square: A Significance Test 114
4 5 Sampling Distributions for Chi Square 118
451 Another example using chi square 123
452 Chi square as a goodness-of-fit test 124
4 6 Two Meanings of Statistical Inference 126
Review of Key Concepts 127
Problems 128
Contents ix
5 STATISTICAL INFERENCE AND HYPOTHESIS TESTING 135
5 1 Probability Distributions 135
511 Discrete probability distributions 136
512 Continuous probability distributions 138
5 2 Describing Discrete Probability Distributions 139
521 The expected value and mean of a probability distribution 139
522 The variance of a probability distribution 140
5 3 Chebycheff s Inequality 141
5 4 Normal Distributions 144
541 The alpha area 147
5 5 The Central Limit Theorem 149
551 An example: Occupational prestige 151
5 6 Sample Point Estimates and Confidence Intervals 154
5 7 Constructing Confidence Intervals around Estimators When the
Standard Error Is Unknown: The / Distribution 157
571 An example using the t distribution to construct a confidence
interval 161
5 8 Desirable Properties of Estimators 162
581 Lack of bias 163
582 Efficiency 164
583 Consistency 164
584 The logic of inferential statistics summarized 165
5 9 Hypothesis Testing 165
591 Statistical hypotheses 165
592 Evaluating statistical hypotheses using sample data 168
593 An example of a hypothesis test about a single mean with exact
hypotheses 168
594 An example of hypothesis testing about a single mean with
inexact hypotheses 173
5 10 Two-Tailed Hypothesis Tests about a Single Mean 175
5 10 1 One-tailed vs two-tailed hypothesis tests 177
Review of Key Concepts 179
Problems 179
6 TESTING FOR THE DIFFERENCE BETWEEN TWO MEANS 187
6 1 Testing for the Difference between Two Means When the Standard
Error Is Known 187
611 Stating the operational hypotheses 188
612 Test procedures 190
613 Testing the hypotheses 196
6 2 Hypothesis Testing with Proportions 198
6 3 An Example of a Two-Tailed Hypothesis Test with Proportions 200
X STATISTICS FOR SOCIAL DATA ANALYSIS
6 4 Testing for the Difference between Two Means When the Standard
Error Is Unknown: The t Test 201
6 5 Comparing Two Distributions with Stem-and-Leaf Diagrams and
Boxplots 206
6 6 Confidence Intervals and Point Estimates for Mean Differences and
Proportions 208
6 7 Reporting p Values 210
6 8 Comparing Means from the Same Population Across Time 211
Review of Key Concepts 211
Problems 212
7 TESTING FOR THE DIFFERENCE BETWEEN SEVERAL MEANS 219
7 1 The Logic of Analysis of Variance: An Example 219
7 2 Effects of Variables 221
7 3 The ANOVA Model 222
7 4 Sums of Squares 222
741 Sums of squares in the problem-solving example 225
7 5 Mean Squares 229
7 6 The F Distribution 232
7 7 Reporting an Analysis of Variance 233
7 8 The relationship of / to F 234
7 9 Determining the Strength of a Relationship: Eta Squared 234
7 10 Testing for Differences between Individual Treatment Means 236
7 10 1 Multiple means comparison using contrasts 237
7 10 2 Mean comparison in the problem-solving example 239
7 11 The Use of ANOVA in Nonexperimental Research 240
7 11 1 An example: Crime rate and population loss 241
Review of Key Concepts 245
Problems 245
8 ESTIMATING RELATIONS BETWEEN TWO CONTINUOUS VARIABLES:
BIVARIATE REGRESSION AND CORRELATION 253
8 1 An Example Using Regression and Correlation Techniques: Municipal
Scope 253
811 Descriptive statistics for municipal scope 255
8 2 Scatterplots and Regression Lines 256
8 3 Linear Regression Equations 259
831 Linear regression applied to municipal scope 262
8 4 Measures of Association: The Coefficient of Determination and the
Correlation Coefficient 266
Contents xi
841 The coefficient of determination 269
842 The correlation coefficient 271
843 Correlating Z scores 272
844 The relation of regression and correlation coefficients 273
8 5 Standardized Regression, or Beta, Coefficients 274
851 Regression toward the mean 275
8 6 Significance Tests for Regression and Correlation 277
861 Testing the significance of the coefficient of determination 278
862 Testing the significance of b and a 280
863 The relationship between F and t2 283
864 Confidence intervals 284
865 Testing the significance of the correlation coefficient 284
87A Problem with an Outlier: Testing the Second Hypothesis on
Municipal Scope 286
8 8 Nonlinear Regression 289
881 Testing for curvilinearity 290
8 9 Special Cases of Inference Involving Correlations 294
891 Testing the difference between two means in nonindependent
populations 294
892 Testing the difference between two correlations in independent
populations 296
Review of Key Concepts 297
Problems 298
9 MEASURING ASSOCIATION WITH DISCRETE VARIABLES 305
9 1 Measures of Association for Nonorderable Discrete Variables 305
911 An example: Religion and school prayer attitudes 306
912 Lambda 307
9 2 Measures of Association for Orderable Discrete Variables 309
921 An example: ERA support and sex role attitude 311
922 Gamma 313
923 Tau b 318
924 Tau c 322
925 Somers s dyx 323
926 Comparing orderable measures of association 325
9 3 The Association of Ranked Data: Spearman s Rho 326
931 An example: Female labor force participation and suicide 327
9 4 The 2X2 Table 328
941 An example: Religious intensity and prayer 329
942 Yule s Q 330
943 Phi 333
944 Odds and the odds ratio 334
xii STATISTICS FOR SOCIAL DATA ANALYSIS
945 Relation to chi-square-based measures 337
Review of Key Concepts 339
Problems 339
10 THE LOGIC OF MULTIVARIATE CONTINGENCY ANALYSIS 349
10 1 Controlling Additional Variables 350
10 1 1 Spuriousness 352
10 1 2 Explanation 353
10 1 3 Multiple causes 355
,10 2 Controlling for a Third Variable in 2X2 Tables 355
10 21A hypothetical example: Family religiosity and teenagers
sex activity 356
10 2 2 No effect of third variable 357
10 2 3 Partial effect of third variable 359
10 2 4 Complete explanation by third variable 360
10 2 5 Interaction effect of third variable 362
10 2 6 Summary of conditional effects 363
10 3 The Partial Correlation Coefficient 366
10 3 1 An example: Relationships among three variables 368
10 3 2 Testing the partial correlation for significance 370
10 4 Multivariate Contingency Analysis in Larger Tables 371
Review of Key Concepts 371
Problems 372
11 MULTIPLE REGRESSION ANALYSIS 381
11 1 An Example: Explaining Sexual Permissiveness 382
11 2 The Three-Variable Regression Model 386
11 2 1 Interpretation of b and bi 389
11 2 2 Standardized regression coefficients (beta weights) 390
11 2 3 The coefficient of determination in the three-variable case 392
11 2 4 Testing the significance of the coefficient of determination
with two independent variables 396
11 2 5 Testing b and b^ for significance 398
11 2 6 Confidence intervals for b and 402
11 2 7 Partial correlation in the three-variable case 402
11 3 Multiple Regression with Several Independent Variables 403
11 3 1 Testing the coefficient of determination for several
independent variables 405
11 3 2 Testing regression coefficients for several independent
variables 405
11 3 3 An example: Examining the effects of gender on sexual
permissiveness 407
Contents xiii
11 4 Dummy Variable Regression Analysis 409
11 4 1 Testing for interaction effects 413
11 4 2 An example with three dummy variables and a continuous
variable 416
11 4 3 Analysis of variance with dummy variable regression 419
Review of Key Concepts 422
Problems 423
12 CAUSAL MODELS AND PATH ANALYSIS 431
12 1 Causal Assumptions 431
12 1 1 Covariation 433
12 1 2 Time order 434
12 1 3 Nonspuriousness 434
12 2 Causal Diagrams 435
12 3 Path Analysis , 439
12 3 1 An example: The drinking behavior model 440
12 3 2 Structural equations 441
12 3 3 Estimating path coefficients 442
12 3 4 Decomposing implied correlations into causal parameters 443
12 3 5 Decomposing implied correlations by tracing paths 448
12 3 6 An example using path analysis: Estimating the drinking
behavior model 451
12 3 7 An example of a chain path model: School busing attitude 455
Review of Key Concepts 459
Problems 459
APPENDICES 467
A The Use of Summations 467
B Critical Values of Chi Square (table) 475
C Area under the Normal Curve (table) 477
D Student s t Distribution (table) 478
E F Distribution (table) 479
F Fisher s r-to-Z Transformation (table) 483
G SPSS* File for the 24-Nations Data Set 484
H SPSS* File for the 63-Cities Data Set 486
Glossary of Terms 489
List of Mathematical and Statistical Symbols 503
Answers to Problems 511
Index 547
|
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| author | Bohrnstedt, George W. Knoke, David |
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| ctrlnum | (OCoLC)17338798 (DE-599)BVBBV005327462 |
| dewey-full | 519.5/0243 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/0243 |
| dewey-search | 519.5/0243 |
| dewey-sort | 3519.5 3243 |
| dewey-tens | 510 - Mathematics |
| discipline | Soziologie Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV005327462 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T11:34:51Z |
| institution | BVB |
| isbn | 0875813232 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003334145 |
| oclc_num | 17338798 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG DE-634 DE-188 |
| owner_facet | DE-473 DE-BY-UBG DE-634 DE-188 |
| physical | XVII, 555 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Peacock |
| record_format | marc |
| spellingShingle | Bohrnstedt, George W. Knoke, David Statistics for social data analysis Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Soziologie (DE-588)4077624-4 gnd Statistik (DE-588)4056995-0 gnd Datenanalyse (DE-588)4123037-1 gnd Empirische Sozialforschung (DE-588)4014606-6 gnd |
| subject_GND | (DE-588)4077624-4 (DE-588)4056995-0 (DE-588)4123037-1 (DE-588)4014606-6 |
| title | Statistics for social data analysis |
| title_auth | Statistics for social data analysis |
| title_exact_search | Statistics for social data analysis |
| title_full | Statistics for social data analysis George W. Bohrnstedt ; David Knoke |
| title_fullStr | Statistics for social data analysis George W. Bohrnstedt ; David Knoke |
| title_full_unstemmed | Statistics for social data analysis George W. Bohrnstedt ; David Knoke |
| title_short | Statistics for social data analysis |
| title_sort | statistics for social data analysis |
| topic | Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Soziologie (DE-588)4077624-4 gnd Statistik (DE-588)4056995-0 gnd Datenanalyse (DE-588)4123037-1 gnd Empirische Sozialforschung (DE-588)4014606-6 gnd |
| topic_facet | Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Soziologie Datenanalyse Empirische Sozialforschung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003334145&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bohrnstedtgeorgew statisticsforsocialdataanalysis AT knokedavid statisticsforsocialdataanalysis |