Statistical inference and probability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Los Angeles ; London ; New Delhi ; Singapore ; Washington DC ; Melbourne
Sage
[2022]
|
| Schriftenreihe: | The Sage quantitative research kit
3rd volume |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Enthält Literaturverzeichnis Seite 197-199 und Index |
| Beschreibung: | xiv, 204 Seiten Illustrationen, Diagramme |
| ISBN: | 9781526424167 |
Internformat
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Datensatz im Suchindex
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| adam_text | CONTENTS xi xv List of Figures and Tables About the Author 1 Tbe Challenge and Promise of Inference 1 What Is Inference? Informal Inference: The Tyranny of Causal Narratives Cognitive Illusions Scientific Inference Statistical Inference Exploration and Inference: Detectivesand Lawyers The NHST Wars Inference, Reproducibility and Replication Inference in Action: The Salk Vaccine Trial Inference in Action: Fertility and Development The World Before Statistics What Knowledge I Assume The Structure of This Book 2 Probability, Randomness, Probability Distributions and Sampling Distributions What is Probability? Some Elementary Descriptive Statistics and Notations Trials and Sample Spaces The Law of Large Numbers Bernoulli Trials The Probability Distribution Bar Charts and Histograms Heights of Union Soldiers Probability Distributions and Variables Conditional Probability With Categorical Variables Conditional Probability With Continuous Variables Pearson s r 2 2 4 5 6 10 11 15 15 17 18 19 19 21 22 24 29 31 32 37 40 42 44 45 50 51
viii 3 4 5 STATISTICAL INFERENCE AND PROBABILITY Conditional Probabilities With a Continuous and Categorical Distribution What Have We Done? Appendix: Simulating Coin Flips With Excel 54 55 56 Bernoulli, Coke and Pepsi 59 A Series of 10 Trials Statistical Inference and Research Design The Null Hypothesis Short Run Probabilities: The Binomial Distribution The Sampling Distribution and p-Values Alpha, Significance, Confidence and Type I Errors Improbable Expectations, Definite Results Why the Double Negative and All the Bother? The Logic of NHST From Statistical Inference to Scientific Inference What Does Significant Mean? Appendix: A Famous Experiment: Milk First or Tea First? 60 60 61 62 67 69 70 71 71 73 73 74 Samples and Populations 79 The Difficulty of Measurement The Illusion of Representative Samples The Sampling Distribution, Samples and Populations Flipping the Logic: One Sample From a Distribution Standard Errors Confidence Intervals for Point Estimates The t-Distribution Examining Differences in Means and Proportions Calculating Standard Errors for Categorical Variables The Binomial Formula in Action: Stop and Search Chi-Square and Contingency Tables Chi-Square and Goodness of Fit Fisher s Exact Test Appendix: Degrees of Freedom 80 81 82 86 89 90 . 92 93 95 99 101 109 113 116 Inference and Regression 119 Introduction The Analysis of Variance The Regression Equation 120 120 124
CONTENTS 6 7 ix Regression as the Analysis of Unconditional and Conditional Variance Correlation and Regression Regression and ANOVA Multiple Regression Inference in Regression: The f-Statistic and Standard Errors An Example of Multiple OLS Regression What Can Go Wrong With Multiple Regression? Transformation Appendix: A Refresher on Powers and Logarithms Powers Arithmetic Rules of Powers Powers Can Be Negative Powers Need Not Be Whole Numbers Logarithms The Logit 126 131 133 134 135 137 141 142 144 144 146 147 147 148 149 Power, Effect Size and Inverse Probability 153 Introduction Thomas Bayes: Prior and Posterior Probabilities Taxi for Kahneman and Tversky A More Substantial Application: Medical Tests Covid-19 Breast Cancer Screening 154 156 165 167 168 169 What Does Sound Inference Comprise? 173 The ASA Debate Ten Steps of Inference The Six Principles of the ASA From the Six Principles to ATOM Contemporary Scientific Research 174 175 183 186 189 Glossary References Index 193 197 201
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| adam_txt |
CONTENTS xi xv List of Figures and Tables About the Author 1 Tbe Challenge and Promise of Inference 1 What Is Inference? Informal Inference: The Tyranny of Causal Narratives Cognitive Illusions Scientific Inference Statistical Inference Exploration and Inference: Detectivesand Lawyers The NHST Wars Inference, Reproducibility and Replication Inference in Action: The Salk Vaccine Trial Inference in Action: Fertility and Development The World Before Statistics What Knowledge I Assume The Structure of This Book 2 Probability, Randomness, Probability Distributions and Sampling Distributions What is Probability? Some Elementary Descriptive Statistics and Notations Trials and Sample Spaces The Law of Large Numbers Bernoulli Trials The Probability Distribution Bar Charts and Histograms Heights of Union Soldiers Probability Distributions and Variables Conditional Probability With Categorical Variables Conditional Probability With Continuous Variables Pearson's r 2 2 4 5 6 10 11 15 15 17 18 19 19 21 22 24 29 31 32 37 40 42 44 45 50 51
viii 3 4 5 STATISTICAL INFERENCE AND PROBABILITY Conditional Probabilities With a Continuous and Categorical Distribution What Have We Done? Appendix: Simulating Coin Flips With Excel 54 55 56 Bernoulli, Coke and Pepsi 59 A Series of 10 Trials Statistical Inference and Research Design The Null Hypothesis Short Run Probabilities: The Binomial Distribution The Sampling Distribution and p-Values Alpha, Significance, Confidence and Type I Errors Improbable Expectations, Definite Results Why the Double Negative and All the Bother? The Logic of NHST From Statistical Inference to Scientific Inference What Does Significant Mean? Appendix: A Famous Experiment: Milk First or Tea First? 60 60 61 62 67 69 70 71 71 73 73 74 Samples and Populations 79 The Difficulty of Measurement The Illusion of Representative Samples The Sampling Distribution, Samples and Populations Flipping the Logic: One Sample From a Distribution Standard Errors Confidence Intervals for Point Estimates The t-Distribution Examining Differences in Means and Proportions Calculating Standard Errors for Categorical Variables The Binomial Formula in Action: Stop and Search Chi-Square and Contingency Tables Chi-Square and Goodness of Fit Fisher's Exact Test Appendix: Degrees of Freedom 80 81 82 86 89 90 . 92 93 95 99 101 109 113 116 Inference and Regression 119 Introduction The Analysis of Variance The Regression Equation 120 120 124
CONTENTS 6 7 ix Regression as the Analysis of Unconditional and Conditional Variance Correlation and Regression Regression and ANOVA Multiple Regression Inference in Regression: The f-Statistic and Standard Errors An Example of Multiple OLS Regression What Can Go Wrong With Multiple Regression? Transformation Appendix: A Refresher on Powers and Logarithms Powers Arithmetic Rules of Powers Powers Can Be Negative Powers Need Not Be Whole Numbers Logarithms The Logit 126 131 133 134 135 137 141 142 144 144 146 147 147 148 149 Power, Effect Size and Inverse Probability 153 Introduction Thomas Bayes: Prior and Posterior Probabilities Taxi for Kahneman and Tversky A More Substantial Application: Medical Tests Covid-19 Breast Cancer Screening 154 156 165 167 168 169 What Does Sound Inference Comprise? 173 The ASA Debate Ten Steps of Inference The Six Principles of the ASA From the Six Principles to ATOM Contemporary Scientific Research 174 175 183 186 189 Glossary References Index 193 197 201 |
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| illustrated | Illustrated |
| index_date | 2024-07-03T18:39:05Z |
| indexdate | 2024-07-10T09:16:04Z |
| institution | BVB |
| isbn | 9781526424167 |
| language | English |
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| publishDate | 2022 |
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| series | The Sage quantitative research kit |
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| spelling | MacInnes, John 1956- Verfasser (DE-588)17044497X aut Statistical inference and probability John MacInnes Los Angeles ; London ; New Delhi ; Singapore ; Washington DC ; Melbourne Sage [2022] xiv, 204 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier The Sage quantitative research kit 3rd volume Enthält Literaturverzeichnis Seite 197-199 und Index Statistische Schlussweise (DE-588)4182963-3 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Inferenzstatistik (DE-588)4247120-5 gnd rswk-swf Statistische Schlussweise (DE-588)4182963-3 s Inferenzstatistik (DE-588)4247120-5 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s DE-604 The Sage quantitative research kit 3rd volume (DE-604)BV047607953 3 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032993340&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | MacInnes, John 1956- Statistical inference and probability The Sage quantitative research kit Statistische Schlussweise (DE-588)4182963-3 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Inferenzstatistik (DE-588)4247120-5 gnd |
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| title | Statistical inference and probability |
| title_auth | Statistical inference and probability |
| title_exact_search | Statistical inference and probability |
| title_exact_search_txtP | Statistical inference and probability |
| title_full | Statistical inference and probability John MacInnes |
| title_fullStr | Statistical inference and probability John MacInnes |
| title_full_unstemmed | Statistical inference and probability John MacInnes |
| title_short | Statistical inference and probability |
| title_sort | statistical inference and probability |
| topic | Statistische Schlussweise (DE-588)4182963-3 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Inferenzstatistik (DE-588)4247120-5 gnd |
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