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Statistics and Probability

Nguồn ngoài

Statistics and Probability

This text covers descriptive statistics, including measures of central tendency, dispersion and position; elements of probability; inferential statistics including confidence intervals, hypothesis tests, two-population comparisons; correlation and regression; goodness of fit; analysis of variance; and applications in various fields. An introduction to the use of a computer software package to complete both descriptive and inferential statistics problems is included.

Statistics
Tác giả
Las Positas College
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LibreTexts
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LibreTexts
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EN
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Mục lục· 155 mục
  1. 01: The Nature of Statistics
  2. 1.01: Prelude to Statistics
  3. 1.02: Descriptive and Inferential Statistics
  4. 1.03: Variables Types of Data and Sampling Techniques
  5. 1.04: Data Collection and Sampling
  6. 1.05: Experimental Design Observational Studies and Ethics
  7. 1.06: Statistical Technology- Computers and Calculators
  8. 1.E: Sampling and Data (Exercises)
  9. 02: Frequency Distributions and Graphs
  10. 2.01: Prelude to Descriptive Statistics
  11. 2.02: Organizing Data - Frequency Distributions
  12. 2.03: Histograms Ogives Frequency Polygons and Time Series
  13. 2.04: Other Types of Graphs
  14. 2.E: Graphs (Optional Exercises)
  15. 03: Data Description
  16. 3.01: Prelude to Descriptive Statistics
  17. 3.02: Measures of the Center of the Data
  18. 3.03: Measures of the Variation of the Data
  19. 3.04: Measures of Position
  20. 3.05: Exploratory Data Analysis
  21. 3.E: Descriptive Statistics (Optional Exercises)
  22. 1.E: Measures of Position (Optional Exercises)
  23. 04: Probability and Counting
  24. 4.01: Prelude to Probability
  25. 4.02: Terminology and Notation for Probability
  26. 4.03: The Addition and Multiplication Rules of Probability
  27. 4.04: Counting Rules
  28. 4.05: Probability And Counting Rules
  29. 4.E: Probability Topics (Optional Exercises)
  30. 1.E: Combinations (Optional Exercises)
  31. 1.E: Permutations (Optional Exercises)
  32. 1.E: Permutations with Similar Elements (Optional Exercises)
  33. 1.E: Probability Using Tree Diagrams and Combinations (Optional Exercises)
  34. 1.E: Tree Diagrams and the Multiplication Axiom (Optional Exercises)
  35. 05: Discrete Probability Distributions
  36. 5.01: Prelude to Discrete Random Variables
  37. 5.02: Probability Distribution Function (PDF) for a Discrete Random Variable
  38. 5.03: Mean or Expected Value and Standard Deviation
  39. 5.04: Binomial Distribution
  40. 5.E: Discrete Random Variables (Optional Exercises)
  41. 06: Continuous Random Variables and the Normal Distribution
  42. 6.01: Prelude
  43. 6.02: The Normal Distribution
  44. 6.03: Applications of the Normal Distribution
  45. 6.04: The Central Limit Theorem
  46. 6.05: Normal Approximation to the Binomial Distribution
  47. 6.E: The Normal Distribution (Optional Exercises)
  48. 1.E: The Central Limit Theorem for Sample Means (Optional Exercises)
  49. 1.E: The Standard Normal Distribution (Optional Exercises)
  50. 07: Confidence Intervals and Sample Size
  51. 7.01: Prelude to Confidence Intervals
  52. 7.02: Confidence Intervals for the Mean with Known Population Standard Deviation
  53. 7.03: Confidence Intervals for the Mean with Unknown Standard Deviation
  54. 7.04: Confidence Intervals and Sample Size for Proportions
  55. 7.E: Confidence Intervals (Optional Exercises)
  56. 1.E: Confidence Intervals for the Mean with Known Standard Deviation (Optional Exercises)
  57. 08: Hypothesis Testing with One Sample
  58. 8.01: Prelude to Hypothesis Testing
  59. 8.02: Hypothesis Testing for One Population
  60. 8.03: Hypothesis Tests for Means with Known Population Standard Deviation
  61. 8.04: Hypothesis Tests for Means with Unknown Population Standard Deviation
  62. 8.05: Hypothesis Test Examples for Proportions
  63. 8.E: Hypothesis Testing (Optional Exercises)
  64. 1.E: Distribution Needed for Hypothesis Testing (Optional Exercises)
  65. 1.E: Hypothesis Testing with One Sample (Optional Exercises)
  66. 1.E: Null and Alternative Hypotheses (Optional Exercises)
  67. 1.E: Outcomes and the Type I and Type II Errors (Optional Exercises)
  68. 1.E: Rare Events the Sample Decision and Conclusion (Optional Exercises)
  69. 09: Inferences with Two Samples
  70. 9.01: Prelude to Hypothesis Testing with Two Samples
  71. 9.02: Inferences for Two Population Means- Large Independent Samples
  72. 9.03: Inferences for Two Population Means - Unknown Standard Deviations
  73. 9.04: Inferences for Two Population Means - Paired Samples
  74. 9.05: Inferences for Two Population Proportions
  75. 9.06: Which Analysis Should You Conduct
  76. 9.E: Hypothesis Testing with Two Samples (Optional Exercises)
  77. 10: Correlation and Regression
  78. 10.01: Prelude to Linear Regression and Correlation
  79. 10.02: Scatter Plots and Testing the Significance of the Correlation Coefficient
  80. 10.03: The Regression Equation and Prediction
  81. 10.04: Outliers
  82. 10.E: Linear Regression and Correlation (Optional Exercises)
  83. 1.E: Linear Equations (Optional Exercises)
  84. 1.E: Outliers (Optional Exercises)
  85. 1.E: Prediction (Optional Exercises)
  86. 1.E: Scatter Plots (Optional Exercises)
  87. 1.E: Testing the Significance of the Correlation Coefficient (Optional Exercises)
  88. 1.E: The Regression Equation (Optional Exercise)
  89. 11: Chi-Square and Analysis of Variance (ANOVA)
  90. 11.01: Prelude to The Chi-Square Distribution
  91. 11.02: Goodness-of-Fit Test
  92. 11.03: Tests Using Contingency tables
  93. 11.04: One-Way ANOVA
  94. 11.E: F Distribution and One-Way ANOVA (Optional Exercises)
  95. 11.E: The Chi-Square Distribution (Optional Exercises)
  96. 12: Nonparametric Statistics
  97. 12.01: Benefits of Distribution Free Tests
  98. 12.02: Randomization Tests - Two Conditions
  99. 12.03: Randomization Tests - Two or More Conditions
  100. 12.04: Randomization Association
  101. 12.05: Fisher's Exact Test
  102. 12.06: Rank Randomization Two Conditions
  103. 12.07: Rank Randomization Two or More Conditions
  104. 12.08: Rank Randomization for Association
  105. 12.09: Statistical Literacy Standard
  106. 12.10: Wilcoxon Signed-Rank Test
  107. 12.11: KruskalWallis Test
  108. 12.12: Spearman Rank Correlation
  109. 12.13: Choosing the Right Test
  110. 12.E: Distribution Free Tests (Exercises)
  111. 13: Appendices
  112. 13.01: A Statistical Table- Standard Normal (Z)
  113. 13.02: A Statistical Table- Student t Distribution
  114. 13.03: A Statistical Table- Chi-Square Distribution
  115. 13.04: A Statistical Table - Sample Correlation Coefficient Table
  116. 13.05: A Statistical Table- F Distribution
  117. 13.06: B Mathematical Phrases Symbols and Formulas
  118. 13.07: Tips for Tables andGraphs
  119. 13.7.01: Presenting Data in Tables
  120. 13.7.02: Guide to Fairly Good Graphs
  121. 13.08: How to Use Microsoft Excel for Regression Analysis
  122. 14: Additional Examples and Information
  123. 14.01: Additional Homework Questions and Solutions
  124. 14.1.01: Ch 1 Homework (Sampling and Data)
  125. 14.1.02: Ch 1 Solutions
  126. 14.1.03: Ch 2 Homework (Descriptive Statistics)
  127. 14.1.04: Ch 2 Solutions
  128. 14.1.05: Ch 3 Homework (Probability Topics)
  129. 14.1.06: Ch 3 Solutions
  130. 14.1.07: Ch 4 Homework (Discrete Random Variables)
  131. 14.1.08: Ch 4 Solutions
  132. 14.1.09: Ch 5 Homework (Continuos Random Variables)
  133. 14.1.10: Ch 5 Solutions
  134. 14.1.11: Ch 6 Homework (Normal Distribution)
  135. 14.1.12: Ch 6 Solutions
  136. 14.1.13: Ch 7 Homework (Central Limit Theorem)
  137. 14.1.14: Ch 7 Solutions
  138. 14.1.15: Ch 8 Homework (Confidence Intervals)
  139. 14.1.16: CH 8 Solutions
  140. 14.1.17: Ch 9 Homework (Hypothesis Testing - One Sample)
  141. 14.1.18: Ch 9 Solutions
  142. 14.1.19: Ch 10 Homework (Hypothesis Testing - Two Samples)
  143. 14.1.20: Ch 10 Solutions
  144. 14.1.21: Ch 11 Homework (Chi-Squared Distribution)
  145. 14.1.22: Ch 11 Solutions
  146. 14.1.23: Ch 12 Homework (F Distribution and ANOVA)
  147. 14.1.24: Ch 12 Solutions
  148. 14.1.25: Ch 13 Homework (Correlation and Regression)
  149. 14.1.26: Ch13 Solutions
  150. 14.02: Sample Page and extra 2.3 exercises
  151. 14.2.01: Extra Measure of Center Exercises
  152. 14.03: Continuous Probability Functions
  153. 14.04: The Uniform Distribution
  154. 14.05: The Standard Normal Distribution
  155. 14.06: Confidence Intervals (Summary)