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Book cover for The Oxford Handbook of Quantitative Methods in Psychology: Vol. 2: Statistical Analysis The Oxford Handbook of Quantitative Methods in Psychology: Vol. 2: Statistical Analysis

Contents

    Alternating least squares scaling (ALSCAL)238
    Alternative models for binary outcomes35–36
    Analysis of variance (ANOVA)
      introduction of concept8
    Bayesian configural frequency analysis86–87
    Bayesian hierarchical models
    Bayesian methods of analysis
      and mediation analysis343
    Binary classification tree682
    Categorical variables
      measuring strength of association between58–61
      testing for significant association between52–58
    Cell frequencies, and configural frequency analysis87
    Classical statistical approaches, overview of7–25
    Classification techniques
    Clustering and classification techniques517–550
      chapter notation522
      concluding remarks543
      finite mixture and latent class models530–543
        absolute fit assessment542
        class-specific item response probabilities533
        instrument calibration vs. respondent scaling533
        investigating relative performance540
        item response probabilities for five assessment items539
        latent classes as attribute profiles535
        local/conditional independence assumption533
        for multiple quantitative response variables532–533
        parameter constraints via the Q-matrix535–536
        parameter values for five assessment items538
        person-fit assessment543
        relative fit assessment541
        for single quantitative response variables531–532
        software packages for540
        statistical structure of unrestricted latent class model534–535
      foundational terminology519–522
        exploratory vs. confirmatory techniques520–521
        nonparametric vs. parametric model-based techniques520
        observations vs. variables519
        variable types vs. measurement scales519–520
      range of applications518
      standardization formulas for cluster analysis524
    Contextual variable fallacies720–725
      avoiding hierarchically nested data structures724–725
      confusing moderation with additive effects724
      direct effect and evidence of mediation721–722
      testing mediation with constituent paths721
      using cross-sectional models to test mediation722–724
    Control variables, associations with61–64
    Coombs’ contribution to MDS238
    Correspondence analysis142–153
      application to other data types151
      introductory example143
      principal component analysis and multidimensional scaling143–147
      statistical inference152
    Dellinger, Anne4
    Differential item functioning65–66
    Diggle-Kenward selection model649, 660
    Discrete-time survival factor mixture model, diagram605
    Dowsett, Chantelle4
    Dynamic causal models192
    Edgeworth, Francis Y.8
    Edwards, Michael4
    Effect sizes
      introduction of concept9
      recommendations for best practice23–24
    Electroencephalography, and statistical parametric mapping177
    Fisher, Ronald A.8
    Fisherian school of statistics8
    Frequentist configural frequency analysis86–87
    Functional magnetic resonance imaging
      and statistical parametric mapping177
    Functional magnetic resonance imaging (fMRI)
    Gaussian processes460
    General linear model (GLM)
      overview of9
      times series model at the voxel level185
    Global configural frequency analysis79
    Gossett, William S.8
    Growth mixture model, diagram605
    Harshman, R.A.8
    Heteroscedasticity28
    History of traditional statistics8–9
    Imaging data, analysis of
      analytic models and designs
        positron emission tomography182
      conclusion and future directions195
      dynamic causal models192
      early approaches based on general linear method176–177
      history of imaging methods and analyses176
      modeling serial correlation184–185
        time series general linear model at the voxel level185
      parameter estimation182
      spatial normalization and topological influence177–182
        steps from image acquisition to analysis180
      statistical parametric mapping177
    Individual differences MDS models238
    Influence measures49
    Intensive longitudinal data
    Interaction
    Interpretation, recommendations for best practice23–24
    Johnson, David4
    Latent differential equation modeling428–430
    Latent mixture modeling, diagram605
    Latent transition model, diagram605
    Latent variable interpretation35
    Lee, Jason and Steve4
    Leverage measures48
    Longitudinal configural frequency analysis93–97
    Magnetic resonance imaging
      and statistical parametric mapping177
    Mean, estimation of460
    Measurement error fallacies725–730
      ignorance of latent mixture and multilevel structure728–729
      individual items and composite scores726–728
      reliability and test length728
      unreliability and attenuated effects729–730
    Medical imaging
      issues in neuroimaging181
      and statistical parametric mapping177
    Metric MDS model237
    Missing data fallacies730–732
      attempting to prepare for missing data732
      missing-data treatments and notion of “cheating,”730–732
    Model diagnostics47
    Modeling
    Models
    Moderation361–386
      confounding nonlinear and interaction effects379–380
      further research379
      interactions with more than two continuous variables381–382
      moderated multiple regression approaches365–373
        interactions with continuous observed variables369–371
        multicollinearity involved with product terms372–373
        power in detecting interactions372
        standardized solutions for models with interactions terms368
        tests of statistical significance of interaction effects368–369
      multilevel designs and clustered samples383
      multiple group SEM approach to interaction375
      non-latent approaches
        for observed variables364
        traditional approaches to interaction effects373–374
      separate group multiple regression365
    Mulaik, S. A.8
    Multilevel models
      diagram of latent class model605
    Multiple regression
    Neyman, Jerzy8
    Neyman-Pearson school of statistics8
    Null hypothesis
      in configural frequency analysis (CFA)80–81
    Organization of Handbook of Quantitative Methods2–4
    Orthogonal rotation741
    Overdispersed Poisson regression42–43
    P calculated values
      introduction of8
    Parameter estimates and fit statistics450
    Pearson, Karl and Egon S.8
    Population stratification229
    Positron emission tomography
      and statistical parametric mapping177
    Practical significance effect sizes9, 13–15
    Preacher, Kris4
    Prediction configural frequency analysis89–91
    Preference MDS models247
    Pseudo-R-squared measures of fit46–47
    Quantitative research methodology, common fallacies in718–758
      contextual variable fallacies720–725
        avoiding hierarchically nested data structures724–725
        confusing moderation with additive effects724
        direct effect and evidence of mediation721–722
        testing mediation with constituent paths721
        using cross-sectional models to test mediation722–724
      measurement error fallacies725–730
        ignorance of latent mixture and multilevel structure728–729
        individual items and composite scores726–728
        reliability and test length728
        unreliability and attenuated effects729–730
      missing data fallacies730–732
        attempting to prepare for missing data732
        missing-data treatments and notion of “cheating,”730–732
      statistical power fallacies736–739
        lack of retrospective power and null hypothesis737
        statistical power as a single, unified concept736
      statistical significance fallacies732–735
        alternative paradigms735
        p-values and strength of effect733
        p-values reflect replicabililty734
        relationship between significant findings and study success734
        significance of p-value and research hypothesis733
        statistical significance and practical importance733–734
    Raju, N.S.8
    Regional configural frequency analysis79–80
    Regression mixture model, diagram605
    Regression specification163
    Rhemtulla, Mijke4
    The row problem145
    Significance testing
      in configural frequency analysis88–89
    Significant association, testing for52–58
    Significant difference, introduction of term8
    Snedecor, George W.8
    Software, statistical
      development of2
      for finite mixture and latent class models540
    Statistical approaches, overview of traditional methods7–25
      brief history of traditional statistics8–9
    Statistical estimation theory12–13
    Statistical inference152
    Statistical parametric mapping, and medical imaging177
    Statistical power fallacies736–739
      lack of retrospective power and null hypothesis737
      statistical power as a single, unified concept736
    Statistical significance15–18
      fallacies732–735
        alternative paradigms735
        p-values and strength of effect733
        p-values reflect replicabililty734
        relationship between significant findings and study success734
        significance of p-value and research hypothesis733
        statistical significance and practical importance733–734
      p calculated values8
      recommendations for best practice23
      vs. practical significance9
    T-test, introduction of8
    Testing for significant association52–58
    Traditional statistical approaches, overview of7–25
    Trees
    Truncated zeros44
    Two-group configural frequency analysis91–93
    Variables
    Variance, estimation of460
    What if There Were No Significance Tests (Mulaik, Raju, Harshman)8
    White noise process460
    Zero-inflated regression models45–46
    Zimmerman, Chad4
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