An introduction to statistical concepts / Richard G. Lomax.

Format:

Book

Author/Creator:

Lomax, Richard G.

Contributor:

Hazel M. Hussong Fund.

Language:

English

Subjects (All):

Statistics.

Mathematical statistics.

Physical Description:

xi, 472 pages : illustrations ; 26 cm + 1 CD-ROM (4 3/4 in.)

Edition:

Second edition.

Place of Publication:

Mahwah, NJ : Lawrence Erlbaum Associates Publishers, 2007.

Summary:

Accompanying CD-ROM contains ... "every example and problem dataset used in the text in SPSS format."--P. [4] of cover.

Contents:

What is the value of statistics? 3

Brief introduction to the history of statistics 5

General statistical definitions 5

Types of variables 7

Scales of measurement 8

2 Data Representation 16

Tabular display of distributions 18

Graphical display of distributions 23

Percentiles 29

SPSS 33

3 Univariate Population Parameters and Sample Statistics 39

Summation notation 40

Measures of central tendency 41

Measures of dispersion 45

SPSS 53

4 The Normal Distribution and Standard Scores 59

The normal distribution 60

Standard scores 65

Skewness and kurtosis statistics 68

SPSS 72

5 Introduction to Probability and Sample Statistics 77

Brief introduction to probability 78

Sampling and estimation 81

6 Introduction to Hypothesis Testing: Inferences About a Single Mean 92

Types of hypotheses 93

Types of decision errors 95

Level of significance [Alpha] 98

Overview of steps in the decision-making process 100

Inferences about [Mu] when [sigma] is known 101

Type II error [Beta] and power [1 - Beta] 105

Statistical versus practical significance 108

Inferences about [Mu] when [sigma] is unknown 109

SPSS 113

7 Inferences About the Difference Between Two Means 119

New concepts 120

Inferences about two independent means 122

Inferences about two dependent means 129

SPSS 133

8 Inferences About Proportions 140

Inferences about proportions involving the normal distribution 141

Inferences about proportions involving the chi-square distribution 151

SPSS 156

9 Inferences About Variances 162

New concepts 163

Inferences about a single variance 164

Inferences about two dependent variances 166

Inferences about two or more independent variances (homogeneity of variance tests) 168

SPSS 172

10 Bivariate Measures of Association 176

Scatterplot 177

Covariance 179

Pearson product-moment correlation coefficient 182

Inferences about the Pearson product-moment correlation coefficient 183

Some issues regarding correlations 186

Other measures of association 188

SPSS 191

11 One-Factor Analysis of Variance-Fixed-Effects Model 196

Characteristics of the one-factor ANOVA model 198

The layout of the data 200

ANOVA theory 201

The ANOVA model 206

Assumptions and violation of assumptions 210

The unequal n's or unbalanced design 213

Alternative ANOVA procedures 213

SPSS 215

12 Multiple Comparison Procedures 222

Concepts of multiple comparison procedures 224

Selected multiple comparison procedures 228

SPSS 241

13 Factorial Analysis of Variance-Fixed-Effects Model 247

The two-factor ANOVA model 249

Three-factor and higher-order ANOVA 265

Factorial ANOVA with unequal n's 267

SPSS 268

14 Introduction to Analysis of Covariance: The One-Factor Fixed-Effects Model With a Single Covariate 277

Characteristics of the model 278

The layout of the data 281

The ANCOVA model 281

The ANCOVA summary table 282

Partitioning the sums of squares 283

Adjusted means and related procedures 283

Assumptions and violation of assumptions 286

ANCOVA without randomization 292

More complex ANCOVA models 293

Nonparametric ANCOVA procedures 293

SPSS 293

15 Random-and Mixed-Effects Analysis of Variance Models 301

The one-factor random-effects model 303

The two-factor random-effects model 306

The two-factor mixed-effects model 309

The one-factor repeated measures design 313

The two-factor split-plot or mixed design 319

SPSS 325

16 Hierarchical and Randomized Block Analysis of Variance Models 335

The two-factor hierarchical model 336

The two-factor randomized block design for n = 1 343

The two-factor randomized block design for n > 1 350

The Friedman test 350

Comparison of various ANOVA models 351

SPSS 353

17 Simple Linear Regression 361

The concepts of simple linear regression 362

The population simple linear regression model 364

The sample simple linear regression model 365

SPSS 381

18 Multiple Regression 387

Partial and semipartial correlations 388

Multiple linear regression 390

Other regression models 403

SPSS 408.

Notes:

Includes index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Hazel M. Hussong Fund.

ISBN:

9780805857399

0805857397

9781410616425

1410616428

OCLC:

137325315

Online:

Publisher description

Contributor biographical information