Verfügbarkeit: Behavioral research and analysis

Behavioral research and analysis: an introduction to statistics within the context of experimental design

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Bibliographische Detailangaben
Hauptverfasser:	Vercruyssen, Max (VerfasserIn), Hendrick, Hal W. 1933-2011 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Boca Raton, Fla. [u.a.] CRC Press / Taylor & Francis 2012
Ausgabe:	4. ed.
Schlagworte:	Psychometrics Experimental design Versuchsplanung Psychometrie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Rev. ed. of: Behavioral research and analysis / Hal W. Hendrick. 1981
Beschreibung:	XX, 279 S. graph. Darst.
ISBN:	9781439818022

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Datensatz im Suchindex

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adam_text	Contents Preface ..............................................................................................................................................xv Acknowledgments ..........................................................................................................................xvii About the Authors ...........................................................................................................................xix Chapter 1 Overview of Scientific Research ..................................................................................1 Keywords ......................................................................................................................1 What Is Science? ..........................................................................................................1 Scientific Method .........................................................................................................2 Identify Problem ......................................................................................................2 Formulate Hypothesis ..............................................................................................2 Conduct Pilot Study .................................................................................................3 Collect Data .............................................................................................................3 Participant (Subject) Sampling ...........................................................................3 Experimental and Control Groups ......................................................................4 Independent and Dependent Variables ...............................................................5 Describing Collected Data ..................................................................................5 Test Hypothesis ........................................................................................................5 Generalize Results ...................................................................................................5 Replicate Experiment ..............................................................................................6 Goals, Principles, and Assumptions of Science ...........................................................6 Goals of Science ......................................................................................................6 Description ..........................................................................................................6 Explanation .........................................................................................................6 Principles of Science ...............................................................................................7 Empirical Verification ........................................................................................7 Assumptions of Science ...........................................................................................8 Determinism .......................................................................................................8 Limited Causality ...............................................................................................8 Contiguity of Events ...........................................................................................8 Five Basic Approaches to Scientific Research .............................................................9 Correlation Approach ..............................................................................................9 Establishing Validity ..........................................................................................9 Using Multiple Predictors .................................................................................10 Establishing Test Reliability .............................................................................11 Developing Homogeneous Subgroups ..............................................................11 Case History Approach .........................................................................................12 Solving Personal Problems ...............................................................................12 Predicting and Subgrouping .............................................................................12 Field Study Approach ...........................................................................................13 Experimental Approach .........................................................................................14 Advantages of Experimental Approach ............................................................14 Disadvantages of Experimental Approach .......................................................14 Purposes of Experimentation ...........................................................................15 VII viii Contents Experimentation Versus Demonstration ...........................................................16 Manipulation Versus Selection of Independent Values ....................................16 Quasi-Experimental Approach ..............................................................................16 Time Series Design ...........................................................................................17 Nonequivalent Control Group Design ..............................................................17 Summary ....................................................................................................................18 Keyword Definitions ..................................................................................................19 Exercises .....................................................................................................................20 Exercise Answers .......................................................................................................21 References ..................................................................................................................21 Chapter 2 Methods of Describing Data ......................................................................................23 Keywords ....................................................................................................................23 Samples and Populations ............................................................................................24 Consideration of Numbers in Statistics ......................................................................24 Continuous Versus Discrete Data ..........................................................................25 Four General Scales of Measurement ...............................................................25 Scaling Behavioral Dimensions ........................................................................26 Graphical Methods of Description .............................................................................27 Univariate Frequency Distribution ........................................................................27 Determine Range ..............................................................................................27 Determine Number and Size ............................................................................27 Set Up Frequency Distribution .........................................................................27 Tally Scores ......................................................................................................27 Post Tallies ........................................................................................................28 Add ƒ Column ...................................................................................................28 Graphing Results ...................................................................................................28 Frequency Polygon ............................................................................................28 Histogram .........................................................................................................29 Other Types of Graphs ......................................................................................30 Cumulative Frequency Distribution .................................................................30 Univariate Descriptive Statistics ................................................................................32 Measures of Central Tendency ..............................................................................32 Mode .................................................................................................................32 Median ..............................................................................................................32 Mean .................................................................................................................33 Averaging Means ..............................................................................................33 When to Use Different Measures of Central Tendency ....................................34 Centiles and Quartilei ......................................................................................34 Measures of Dispersion, Variability, or Spread .....................................................34 Range ................................................................................................................34 Semi-Interquartile Range .................................................................................35 Average Deviation .............................................................................................35 Variance ............................................................................................................36 Standard Deviation ...........................................................................................36 Interpretation of Standard Deviation ................................................................39 Standard Score ..................................................................................................40 Measures of Distribution Skewness ......................................................................43 Measures of Distribution Kurtosis ........................................................................43 Contents ix Summary ....................................................................................................................44 Keyword Definitions ..................................................................................................45 Exercises .....................................................................................................................46 Exercise Answers .......................................................................................................48 References ..................................................................................................................52 Chapter 3 Bivariate Descriptive Statistics ..................................................................................53 Keywords ....................................................................................................................53 Bivariate Frequency Distributions ..............................................................................53 Graphing Relationship Between Two Variables ....................................................54 Shapes of Bivariate Frequency Distributions ........................................................56 Correlation: The Pearson r .........................................................................................57 Nature of Correlation Coefficients ........................................................................57 Pearson Product-Moment Correlation (r) ........................................................57 Computation of Pearson r .................................................................................58 Effect of Range on Value or Coefficient ...........................................................60 Interpretation of Correlation Coefficients .........................................................60 Interpretation of r2 (Coefficient of Determination) ..........................................62 Other Correlation Coefficients ...................................................................................62 Point Biserial rpb ....................................................................................................62 Computation of Point Biserial ..........................................................................62 Assumptions Underlying Point Biserial ............................................................63 Biserial r ................................................................................................................64 Computation of Biserial rb ................................................................................64 Assumptions Underlying Biserial r ..................................................................65 Interpretation of Biserial r ................................................................................65 Spearman Rank Order Correlation Coefficient (Rho) ...........................................65 Calculation of Spearman Rho ..........................................................................65 Assumption Underlying Spearman Rho ...........................................................66 Use of Spearman Rho .......................................................................................66 Kendall s Coefficient of Concordance (WO ............................................................66 Computation of W .............................................................................................67 Phi Coefficient (φ) .................................................................................................68 Computation of Phi ...........................................................................................68 Assumptions Underlying Phi ............................................................................68 Special Uses of Phi Coefficient ........................................................................68 Correlation Ratio (Eta) ..........................................................................................69 Calculation of Correlation Ratio .......................................................................69 Prediction and Concept of Regression .......................................................................70 Concept of Regression ...........................................................................................70 Computation of Regression Lines .........................................................................70 Equation for Straight Line ................................................................................71 Computation of Linear Regression Line ...........................................................71 Relation of byx and bxy to r .................................................................................73 Standard Error of Estimate ....................................................................................73 Computation of SEes, .........................................................................................74 Interpretation of SEes, ........................................................................................74 Summary ....................................................................................................................74 Keyword Definitions ..................................................................................................76 x Contents Exercises .....................................................................................................................11 Exercise Answers....................................................................................................... 80 References ..................................................................................................................84 Chapter 4 Simple Experimental Designs ....................................................................................85 Keywords ....................................................................................................................85 Introduction to Inferential Statistics ...........................................................................86 Sampling Distribution of Means ...........................................................................86 Example ............................................................................................................86 Central Limit Theorem .....................................................................................86 Relationship of Sample Size to σ^ ...................................................................86 Computing Standard Error of Mean σ^ ...........................................................87 Sampling Distribution of Difference Between Two Means σβ_ ...........................87 Example ............................................................................................................87 Computing OD- .................................................................................................87 Statistical Hypothesis Testing ....................................................................................88 Example .................................................................................................................88 One-Tailed Versus Two-Tailed Hypotheses ...........................................................89 Type I and Type II Errors ......................................................................................91 Power of Statistical Testing ...................................................................................91 Two Randomized Groups Designs: ř-Test for Independent Samples .........................91 Two Randomized Groups (Between Groups) Design ...........................................91 ř-Test for Independent Data ...................................................................................92 Concept of Degrees of Freedom .......................................................................92 Use of f-Test in Statistical Hypothesis Testing .................................................92 Limitations of Randomized Groups Design ..........................................................93 Two Matched Groups and Repeated Measures Designs: /-Test for Correlated Data ................................................................................................93 Two Matched Groups Design ................................................................................94 ř-Test for Correlated Data ......................................................................................94 Computation of / for Correlated Data ...............................................................94 Repeated Measures (Within Subjects) Design ......................................................97 Advantages and Uses of Repeated Measures Designs .....................................97 Disadvantages of Repeated Measures Designs ................................................98 Counterbalancing in Repeated Measures Designs ...........................................98 Using /-Test With Repeated Measures Design ..................................................99 Nonparametric Analysis ...........................................................................................100 Mann-Whitney ÍZ-Test ........................................................................................100 Assumptions of Mann-Whitney ¿/-Test .........................................................100 Computation of Mann-Whitney ÍZ-Test .........................................................101 Explanation of [/-Test .....................................................................................102 Wilcoxon Matched-Pairs Signed-Ranks Test (Γ) ................................................102 Assumptions of Wilcoxon Test .......................................................................102 Computation of Wilcoxon Test .......................................................................102 Explanation of Wilcoxon Test .........................................................................103 Chi-Square ...........................................................................................................103 Chi-Square Distribution ..................................................................................103 Chi-Square Tests of Independence .................................................................104 Computation of Degrees of Freedom for Chi-Square Tests ...........................105 Chi-Square Tests of Goodness of Fit ..............................................................105 Contents xi Chi-Square Test for Goodness of Fit to Normal .............................................106 Computation of Chi-Square With Small Expected Frequencies ....................107 Testing for Significance of Correlation ....................................................................108 Test for Significance of Phi (Ф) ...........................................................................108 Testing for Significance of Pearson r and Spearman Rho ..................................109 Summary ..................................................................................................................109 Keyword Definitions ................................................................................................ Ill Exercises ...................................................................................................................113 Exercise Answers .....................................................................................................116 References ................................................................................................................120 Chapterő Simple Analysis of Variance ....................................................................................121 Keywords ..................................................................................................................121 More Than Two Treatments Designs .......................................................................121 Reasons for Using More Than Two Treatments ..................................................121 Using More Than Two Treatments May Yield a Different Answer ...............121 To Obtain Fairly Precise Knowledge of the IV-DM Relationship .................122 To Study More Than Two Treatment Conditions ...........................................122 Types of More Than Two Treatment Designs .....................................................123 Single-Factor (Simple) Analysis of Variance ...........................................................124 Concept of Analysis of Variance (ANOVA) ........................................................124 F-Test ...................................................................................................................126 Rationale for F-Test ........................................................................................126 Assumptions of F-Test ....................................................................................126 Why Multiple ř-Tests Should Not Be Used ..........................................................127 ANOVA for More Than Two Randomized Groups Design .....................................127 Computation of Sums of Squares ........................................................................128 Degrees of Freedom, Mean Squares, and F-Ratio ..............................................128 Generalized ANOVA Summary Table ................................................................129 Computational Example ......................................................................................130 ANOVA for Repeated Measures Design ..................................................................131 Computation of Sums of Squares ........................................................................131 Degrees of Freedom, Mean Squares, and F-Ratio ..............................................132 Generalized ANOVA Summary Table ................................................................132 Computation Example .........................................................................................133 Post Hoc Analyses: Multiple Comparisons Among Means .....................................135 Tukey s WSD (Wholly Significant Difference) ...................................................135 Neuman-Keuls Test ............................................................................................137 Bonferroni i-Test ..................................................................................................137 Scheffe Test for All Possible Comparisons .........................................................137 Summary ..................................................................................................................139 Keyword Definitions ................................................................................................140 Exercises ...................................................................................................................141 Exercise Answers .....................................................................................................142 References ................................................................................................................146 Chapter 6 Multifactor Analysis of Variance .............................................................................147 Keywords ..................................................................................................................147 Rationale for Factorial Designs ................................................................................147 Factorial Designs ......................................................................................................149 x¡¡ Contents Two-Factor Designs.............................................................................................150 Three-Factor Designs ..........................................................................................150 Four-Factor Designs ............................................................................................150 Nested Designs .........................................................................................................151 Fully Crossed Designs .........................................................................................151 Nested Designs ....................................................................................................151 Limitation of Nested Designs .........................................................................152 Types of Analysis of Variance Designs ....................................................................152 Between-Groups Designs ....................................................................................152 Completely Within-Subjects (Repeated Measures) Designs ...............................153 Mixed Designs .....................................................................................................153 Between-Groups (Random Blocks) Two-Factor ANOVA Designs ..........................154 Rationale for Between-Groups ANOVA Designs ...............................................154 Computational Example ......................................................................................155 Within-Subjects (Repeated Measures) Two-Factor ANOVA Designs .....................158 Rationale for Within-Subjects ANOVA Designs ................................................158 Computational Example ......................................................................................159 Mixed Two-Factor ANOVA Designs .......................................................................161 Rationale for Mixed ANOVA Designs ................................................................161 Computational Example ......................................................................................163 Summary ..................................................................................................................164 Keyword Definitions ................................................................................................165 Exercises ...................................................................................................................165 Exercise Answers .....................................................................................................168 References ................................................................................................................179 Chapter 7 Planning, Conducting, and Reporting Research ......................................................181 Keywords ..................................................................................................................181 Planning and Conducting Study ...............................................................................181 Surveying Literature ............................................................................................181 Stating Problem and Hypothesis .........................................................................182 Defining Variables ..........................................................................................182 Selecting Design .............................................................................................183 Developing Experimental Procedure ..............................................................183 Analyzing Results ................................................................................................183 Techniques for Controlling Extraneous Variables ...................................................184 Eliminating Conditions .......................................................................................185 Holding Conditions Constant ..............................................................................185 Balancing Conditions ..........................................................................................185 Counterbalancing Conditions ..............................................................................186 Randomizing Conditions .....................................................................................187 Conducting an Experiment .......................................................................................187 Ethics ...................................................................................................................187 Informed Consent ................................................................................................187 Etiquette ...............................................................................................................188 Writing Research Report ..........................................................................................188 General Comments ..............................................................................................188 General Format ....................................................................................................190 Abstract ................................................................................................................190 Introduction .........................................................................................................190 Contents xiii Purpose ...........................................................................................................190 Crediting Sources ...........................................................................................190 Method .................................................................................................................192 Participants .....................................................................................................192 Apparatus ........................................................................................................192 Procedure ........................................................................................................192 Treatment of Data ...........................................................................................193 Results .................................................................................................................193 Discussion ............................................................................................................193 Summary .............................................................................................................193 References ............................................................................................................193 Book References .............................................................................................194 Journal References ..........................................................................................194 Proceedings References ..................................................................................194 Dissertation References ..................................................................................194 Technical Report References ..........................................................................195 Motion Picture References ..............................................................................195 Newspaper and Magazine References ............................................................195 Other References ............................................................................................195 Tables and Figures ...............................................................................................195 Tables ..............................................................................................................196 Figures ............................................................................................................196 Additional Comments About Writing Scientific Reports ....................................197 Summary ..................................................................................................................197 Key word Definitions ................................................................................................198 Exercises ...................................................................................................................200 Exercise Answers .....................................................................................................201 References ................................................................................................................201 Appendix A: Statistical Tables ...................................................................................................203 Appendix B: Glossary of Statistical Terms, Equations, and Symbols ....................................227 Appendix C: Statistical Equations .............................................................................................263 Index ..............................................................................................................................................273
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spelling	Vercruyssen, Max Verfasser aut Behavioral research and analysis an introduction to statistics within the context of experimental design Max Vercruyssen ; Hal W. Hendrick 4. ed. Boca Raton, Fla. [u.a.] CRC Press / Taylor & Francis 2012 XX, 279 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Rev. ed. of: Behavioral research and analysis / Hal W. Hendrick. 1981 Psychometrics Experimental design Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Psychometrie (DE-588)4176236-8 gnd rswk-swf Psychometrie (DE-588)4176236-8 s Versuchsplanung (DE-588)4078859-3 s DE-604 Hendrick, Hal W. 1933-2011 Verfasser (DE-588)153267119 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024471793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Vercruyssen, Max Hendrick, Hal W. 1933-2011 Behavioral research and analysis an introduction to statistics within the context of experimental design Psychometrics Experimental design Versuchsplanung (DE-588)4078859-3 gnd Psychometrie (DE-588)4176236-8 gnd
subject_GND	(DE-588)4078859-3 (DE-588)4176236-8
title	Behavioral research and analysis an introduction to statistics within the context of experimental design
title_auth	Behavioral research and analysis an introduction to statistics within the context of experimental design
title_exact_search	Behavioral research and analysis an introduction to statistics within the context of experimental design
title_full	Behavioral research and analysis an introduction to statistics within the context of experimental design Max Vercruyssen ; Hal W. Hendrick
title_fullStr	Behavioral research and analysis an introduction to statistics within the context of experimental design Max Vercruyssen ; Hal W. Hendrick
title_full_unstemmed	Behavioral research and analysis an introduction to statistics within the context of experimental design Max Vercruyssen ; Hal W. Hendrick
title_short	Behavioral research and analysis
title_sort	behavioral research and analysis an introduction to statistics within the context of experimental design
title_sub	an introduction to statistics within the context of experimental design
topic	Psychometrics Experimental design Versuchsplanung (DE-588)4078859-3 gnd Psychometrie (DE-588)4176236-8 gnd
topic_facet	Psychometrics Experimental design Versuchsplanung Psychometrie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024471793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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