William D. Richards
1998
Empirical Press
2476 Trinity
Vancouver, BC
(604) 251-3272
fax (604) 251-7073
ISBN 1-57273-245-8
1. Science [pdf] 3
Science 4Single instances vs. general patterns 5Three assumptions of science 6A scientific approach to communication research 8Theory 8Constructing theory 10Verifying theoretical explanations 11Research design 12
2. Conceptualizing 17
Concepts and constructs 17Variables 18Research questions 18The problem statement 19Assessing problem statements 19Defining the terms in problem statements 20Conceptual definitions 21Assessing conceptual definitions 21
3. Operationalizing 23
Operational definitions 23 Measurement 23 Scaling 25 Levels of scaling 25 Which level of scaling to use? 27
4. Validity and reliability 29
Face validity 29 Criterion/pragmatic/predictive validity 29 Construct validity 30 Internal and External validity 30 Measurement Error 30
5. Sampling 35
Sample designs 36Non-probability samples 36Accidental or convenience samples 37Purposive samples 37 Quota or proportionate sample 37 Probability samples 37Simple random samples 37Systematic samples 38Stratified random sample 39Cluster samples 39
6. Univariate descriptive statistics [pdf] 45
Descriptive and inferential statistics 45 Descriptive statistics 46 Central Tendency 46 The mode 46 The median 47 The mean 47 Dispersion 48 The range 49 The interquartile range (IQR) 49 Variance 49 Standard deviation 50 Standard scores (or "z-scores") 51 Calculating standard deviation 52 Sample or population? 53 The uses of the standard deviation 53 How to calculate standard deviation: original method 55 How to calculate standard deviation: computational method 56
7. Distributions 59
The normal distribution 62 Table 1: Areas under the normal curve 64 Examples 65
8. The normal curve and samples: sampling distributions [pdf] 69
Sampling distributions 70 Standard errors: standard deviations of sampling distributions 72
9. Inferential statistics: from samples to populations 75
Standard Errors 77 The standard error of the mean 77 The standard error of proportions 77 The standard error of the difference between means 77
10. Univariate inferential statistics 79
Estimating confidence intervals 79 How to do it 80 Z-test of a single mean 82
III. Bivariate Descriptive Statistics
11. Crosstabulation 87
How to read a crosstabulation 88 How to interpret the table 91
12. Strength of relationships: Discrete data 93
Measures of strength of association 93 Level of scaling 93 Symmetric vs. asymmetric measures 93 "Standard" vs. "nonstandard" measures 94 Nominal data 94 Lambda 95 Yule's Q 96 Pearson's phi coefficient ( ) 98 The PRE interpretation of Pearson's 99 Ordinal data 99 Goodman and Kruskal's gamma 99 How to interpret gamma 101 Problems with gamma 101 Somer's d 102 Spearman's rho 102 Summary 104
13. Strength of relationships: Continuous data [pdf] 107
The first change: covariance 107An easier way to calculate covariance 109The second change: correlation 110Why correlation is better than covariance 111 Calculating r 111 r based on z-scores 111r based on deviation scores 112The computational equation for r 112A gallery of correlations 113
14. Regression 115
The regression line 115Regression equation 116Residuals 116Explained variance 117 Correlation and residuals 118 Multiple regression 119Linear vs curvilinear regression 119
15. Statistical significance 123
Sampling variability . . . or not? 123The null hypothesis 124Let's take a chance 125Testing the null hypothesis 125 Critical values 125 If you reject the null hypothesis . . . 126
16. Chi-squared 127
Observed vs expected 127How to calculate the expected values 128Calculating chi-squared 128How big is the difference? 129 Summary of the procedure 130
17. z-test for differences between means 135
Hypotheses about differences 135One or two tails? 138Undirected hypotheses 139Directed hypotheses 139 Common critical values of z 139 Examples 140Procedure 142
18. Tests for correlations 145
Significance of Pearson's r 145Difference between two rs 146Significance of Spearman's rho 148Difference between two rhos 149
19. More mean differences: z, t, and F 151
Critical ratios 151 Variance accounted for 152 z-test for difference between means 153 How to do it 153 Requirements 153 t-test for difference between two means 153 How to do it 154 Requirements 154 ANOVA analysis of variance 156 ANOVA in detail 157 Sources or types of variance 157 ANOVA: an eight-step plan 158 Summary 160
20. Experiments 163
The stereotypical laboratory experiment 163Not-quite experiments 164Two-group designs 165Four-group designs 166 Experimental controls and comparisons 166 The Experimental method reviewed 168Advantages of the experimental method 168Disadvantages of the experimental method 169
21. Survey research 171
The nature of survey research 171 Surveys and time 172 Selecting a representative sample 172 Define your population 173 Specify your sampling elements 173 Secure a sampling frame 173 Choose a sampling method 174 The survey questionnaire 175 Types of questions 176 Closed questions 176 Composite measures 177 Multiple-choice questions 179 Open-ended questions 179 Criteria for evaluating survey questions 180 Order of questions in surveys 180 Administering the survey questionnaire 181 Self-administered methods 181 Oral interview methods 182 Response rate problems 183 Total nonresponse 183 Item nonresponse 184
A. Equations 189
B. Tables 193
1. Areas under the normal curve 193 2. Critical values of Student's t 197 3. Critical values of chi-squared 198 4. Critical values of F 201 5. Pearson's r to Fisher's Z 207 6. Critical values of r 208 7. Random numbers 210
C. Glossary 215
D. Exercises 223
References 257 Index 259