Concepts in Statistics

by Lumen Learning

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Using highly interactive learning design, this Concepts in Statistics course provides students with a strong understanding of fundamental principles that guide the study of statistical inference. This course’s simulations and lab-style synthesis activities invite hands-on exploration of statistical concepts. Students learn to summarize data graphically and numerically; examine relationships among quantitative data; understand the role of probability and probability distributions; link probabilit

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Publisher
LibreTexts
Subjects
Statistics
Licence
CC BY 4.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. About this Book
  7. 1: Types of Statistical Studies and Producing Data
  8. 1.1: Why It Matters- Types of Statistical Studies and Producing Data
  9. 1.2: Introduction to Types of Statistical Studies
  10. 1.3: Types of Statistical Studies (1 of 4)
  11. 1.4: Types of Statistical Studies (2 of 4)
  12. 1.5: Types of Statistical Studies (3 of 4)
  13. 1.6: Types of Statistical Studies (4 of 4)
  14. 1.7: Introduction to Sampling
  15. 1.8: Sampling (1 of 2)
  16. 1.9: Sampling (2 of 2)
  17. 1.10: Introduction to Conducting Experiments
  18. 1.11: Conducting Experiments (1 of 2)
  19. 1.12: Conducting Experiments (2 of 2)
  20. 1.13: Putting It Together- Types of Statistical Studies and Producing Data
  21. 2: Summarizing Data Graphically and Numerically
  22. 2.1: Why It Matters- Summarizing Data Graphically and Numerically
  23. 2.2: Standard Deviation (1 of 4)
  24. 2.3: Standard Deviation (2 of 4)
  25. 2.4: Standard Deviation (3 of 4)
  26. 2.5: Standard Deviation (4 of 4)
  27. 2.6: Putting It Together- Summarizing Data Graphically and Numerically
  28. 2.7: StatTutor- Drinking Habits of College Students
  29. 2.8: Assignment- Histogram
  30. 2.9: Assignment- Five-Number Summary
  31. 2.10: Assignment- Boxplot
  32. 2.11: Assignment- Standard Deviation
  33. 2.12: Introduction to Categorical vs. Quantitative Data
  34. 2.13: Categorical vs. Quantitative Data
  35. 2.14: Introduction to Dotplots
  36. 2.15: Dotplots (1 of 2)
  37. 2.16: Dotplots (2 of 2)
  38. 2.17: Introduction to Histograms
  39. 2.18: Histograms (1 of 4)
  40. 2.19: Histograms (2 of 4)
  41. 2.20: Histograms (3 of 4)
  42. 2.21: Histograms (4 of 4)
  43. 2.22: Introduction to Measures of Center
  44. 2.23: Mean and Median (1 of 2)
  45. 2.24: Mean and Median (2 of 2)
  46. 2.25: Introduction to Measures of Spread
  47. 2.26: Interquartile Range and Boxplots (1 of 3)
  48. 2.27: Interquartile Range and Boxplots (2 of 3)
  49. 2.28: Interquartile Range and Boxplots (3 of 3)
  50. 2.29: Introduction to Describing a Distribution
  51. 3: Examining Relationships- Quantitative Data
  52. 3.1: Why It Matters- Examining Relationships- Quantitative Data
  53. 3.2: Linear Regression (4 of 4)
  54. 3.3: Introduction to Assessing the Fit of a Line
  55. 3.4: Assessing the Fit of a Line (1 of 4)
  56. 3.5: Assessing the Fit of a Line (2 of 4)
  57. 3.6: Assessing the Fit of a Line (3 of 4)
  58. 3.7: Assessing the Fit of a Line (4 of 4)
  59. 3.8: Putting It Together- Examining Relationships- Quantitative Data
  60. 3.9: StatTutor- Academic Performance
  61. 3.10: Assignment- Scatterplot
  62. 3.11: Assignment- Linear Relationships
  63. 3.12: Introduction to Scatterplots
  64. 3.13: Assignment- Linear Regression
  65. 3.14: Scatterplots (1 of 5)
  66. 3.15: Scatterplots (2 of 5)
  67. 3.16: Scatterplots (3 of 5)
  68. 3.17: Scatterplots (4 of 5)
  69. 3.18: Scatterplots (5 of 5)
  70. 3.19: Introduction to Linear Relationships
  71. 3.20: Linear Relationships (1 of 4)
  72. 3.21: Linear Relationships (2 of 4)
  73. 3.22: Linear Relationships (3 of 4)
  74. 3.23: Linear Relationships (4 of 4)
  75. 3.24: Introduction to Association vs Causation
  76. 3.25: Causation and Lurking Variables (1 of 2)
  77. 3.26: Causation and Lurking Variables (2 of 2)
  78. 3.27: Introduction to Linear Regression
  79. 3.28: Linear Regression (1 of 4)
  80. 3.29: Linear Regression (2 of 4)
  81. 3.30: Linear Regression (3 of 4)
  82. 4: Nonlinear Models
  83. 4.1: Why It Matters- Nonlinear Models
  84. 4.2: Introduction to Exponential Relationships
  85. 4.3: Exponential Relationships (1 of 6)
  86. 4.4: Exponential Relationships (2 of 6)
  87. 4.5: Exponential Relationships (3 of 6)
  88. 4.6: Exponential Relationships (4 of 6)
  89. 4.7: Exponential Relationships (5 of 6)
  90. 4.8: Exponential Relationships (6 of 6)
  91. 4.9: Putting It Together- Nonlinear Models
  92. 5: Relationships in Categorical Data with Intro to Probability
  93. 5.1: Why It Matters- Relationships in Categorical Data with Intro to Probability
  94. 5.2: Introduction to Two-Way Tables
  95. 5.3: Two-Way Tables (1 of 5)
  96. 5.4: Two-Way Tables (2 of 5)
  97. 5.5: Two-Way Tables (3 of 5)
  98. 5.6: Two-Way Tables (4 of 5)
  99. 5.7: Two-Way Tables (5 of 5)
  100. 5.8: Putting It Together- Relationships in Categorical Data with Intro to Probability
  101. 5.9: StatTutor- Treating Depression- A Randomized Clinical Trial
  102. 6: Probability and Probability Distributions
  103. 6.1: Why It Matters- Probability and Probability Distributions
  104. 6.2: Normal Random Variables (2 of 6)
  105. 6.3: Normal Random Variables (3 of 6)
  106. 6.4: Normal Random Variables (4 of 6)
  107. 6.5: Normal Random Variables (5 of 6)
  108. 6.6: Normal Random Variables (6 of 6)
  109. 6.7: Putting It Together- Probability and Probability Distribution
  110. 6.8: Introduction to Another Look at Probability
  111. 6.9: Another Look at Probability (1 of 2)
  112. 6.10: Another Look at Probability (2 of 2)
  113. 6.11: Introduction to Probability Rules
  114. 6.12: Probability Rules (1 of 3)
  115. 6.13: Probability Rules (2 of 3)
  116. 6.14: Probability Rules (3 of 3)
  117. 6.15: Introduction to Discrete Probability Distribution
  118. 6.16: Discrete Random Variables (1 of 5)
  119. 6.17: Discrete Random Variables (2 of 5)
  120. 6.18: Discrete Random Variables (3 of 5)
  121. 6.19: Discrete Random Variables (4 of 5)
  122. 6.20: Discrete Random Variables (5 of 5)
  123. 6.21: Introduction to Continuous Probability Distribution
  124. 6.22: Continuous Probability Distribution (1 of 2)
  125. 6.23: Continuous Probability Distribution (2 of 2)
  126. 6.24: Introduction to Normal Random Variables
  127. 6.25: Normal Random Variables (1 of 6)
  128. 7: Linking Probability to Statistical Inference
  129. 7.1: Why It Matters- Linking Probability to Statistical Inference
  130. 7.2: Introduction to Distribution of Sample Proportions
  131. 7.3: Parameters vs. Statistics
  132. 7.4: Distribution of Sample Proportions (1 of 6)
  133. 7.5: Distribution of Sample Proportions (2 of 6)
  134. 7.6: Distribution of Sample Proportions (3 of 6)
  135. 7.7: Distribution of Sample Proportions (4 of 6)
  136. 7.8: Distribution of Sample Proportions (5 of 6)
  137. 7.9: Distribution of Sample Proportions (6 of 6)
  138. 7.10: Introduction to Statistical Inference
  139. 7.11: Statistical Inference (1 of 3)
  140. 7.12: Statistical Inference (2 of 3)
  141. 7.13: Statistical Inference (3 of 3)
  142. 7.14: Putting It Together- Linking Probability to Statistical Inference
  143. 8: Inference for One Proportion
  144. 8.1: Why It Matters- Inference for One Proportion
  145. 8.2: Introduction to Estimating a Population Proportion
  146. 8.3: Estimating a Population Proportion (1 of 3)
  147. 8.4: Estimating a Population Proportion (2 of 3)
  148. 8.5: Estimating a Population Proportion (3 of 3)
  149. 8.6: Introduction to Hypothesis Testing
  150. 8.7: Hypothesis Testing (1 of 5)
  151. 8.8: Hypothesis Testing (2 of 5)
  152. 8.9: Hypothesis Testing (3 of 5)
  153. 8.10: Hypothesis Testing (4 of 5)
  154. 8.11: Hypothesis Testing (5 of 5)
  155. 8.12: Introduction to Hypothesis Test for a Population Proportion
  156. 8.13: Hypothesis Test for a Population Proportion (1 of 3)
  157. 8.14: Hypothesis Test for a Population Proportion (2 of 3)
  158. 8.15: Hypothesis Test for a Population Proportion (3 of 3)
  159. 8.16: Putting It Together- Inference for One Proportion
  160. 8.17: StatTutor- Cell Phones
  161. 8.18: Assignment- Hypothesis Testing for the Population Proportion p
  162. 9: Inference for Two Proportions
  163. 9.1: Why It Matters- Inference for Two Proportions
  164. 9.2: Assignment- A Statistical Investigation using Software
  165. 9.3: Introduction to Distribution of Differences in Sample Proportions
  166. 9.4: Distribution of Differences in Sample Proportions (1 of 5)
  167. 9.5: Distribution of Differences in Sample Proportions (2 of 5)
  168. 9.6: Distribution of Differences in Sample Proportions (3 of 5)
  169. 9.7: Distribution of Differences in Sample Proportions (4 of 5)
  170. 9.8: Distribution of Differences in Sample Proportions (5 of 5)
  171. 9.9: Introduction to Estimate the Difference Between Population Proportions
  172. 9.10: Estimate the Difference between Population Proportions (1 of 3)
  173. 9.11: Estimate the Difference between Population Proportions (2 of 3)
  174. 9.12: Estimate the Difference between Population Proportions (3 of 3)
  175. 9.13: Introduction to Hypothesis Test for Difference in Two Population Proportions
  176. 9.14: Hypothesis Test for Difference in Two Population Proportions (1 of 6)
  177. 9.15: Hypothesis Test for Difference in Two Population Proportions (2 of 6)
  178. 9.16: Hypothesis Test for Difference in Two Population Proportions (3 of 6)
  179. 9.17: Hypothesis Test for Difference in Two Population Proportions (4 of 6)
  180. 9.18: Hypothesis Test for Difference in Two Population Proportions (5 of 6)
  181. 9.19: Hypothesis Test for Difference in Two Population Proportions (6 of 6)
  182. 9.20: Putting It Together- Inference for Two Proportions
  183. 10: Inference for Means
  184. 10.1: Why It Matters- Inference for Means
  185. 10.2: Hypothesis Test for a Difference in Two Population Means (2 of 2)
  186. 10.3: Estimating the Difference in Two Population Means
  187. 10.4: Putting It Together- Inference for Means
  188. 10.5: StatTutor- Analyzing Data From a Course’s Grade Book
  189. 10.6: Assignment- Distribution of Sample Means
  190. 10.7: Assignment- Connection between Confidence Intervals and Sampling Distributions
  191. 10.8: Assignment- Hypothesis Testing for the Population Mean
  192. 10.9: Assignment- Matched Pairs
  193. 10.10: Assignment- Checking Conditions
  194. 10.11: Assignment- Two Independent Samples
  195. 10.12: Introduction to Distribution of Sample Means
  196. 10.13: Distribution of Sample Means (1 of 4)
  197. 10.14: Distribution of Sample Means (2 of 4)
  198. 10.15: Distribution of Sample Means (3 of 4)
  199. 10.16: Distribution of Sample Means (4 of 4)
  200. 10.17: Introduction to Estimating a Population Mean
  201. 10.18: Estimating a Population Mean (1 of 3)
  202. 10.19: Estimating a Population Mean (2 of 3)
  203. 10.20: Estimating a Population Mean (3 of 3)
  204. 10.21: Introduction to Hypothesis Test for a Population Mean
  205. 10.22: Hypothesis Test for a Population Mean (1 of 5)
  206. 10.23: Hypothesis Test for a Population Mean (2 of 5)
  207. 10.24: Hypothesis Test for a Population Mean (3 of 5)
  208. 10.25: Hypothesis Test for a Population Mean (4 of 5)
  209. 10.26: Hypothesis Test for a Population Mean (5 of 5)
  210. 10.27: Introduction to Inference for a Difference in Two Population Means
  211. 10.28: Inference for a Difference in Two Population Means
  212. 10.29: Hypothesis Test for a Difference in Two Population Means (1 of 2)
  213. 11: Chi-Square Tests
  214. 11.1: Why It Matters- Chi-Square Tests
  215. 11.2: Introduction to Chi-Square Test for One-Way Tables
  216. 11.3: Goodness-of-Fit (1 of 2)
  217. 11.4: Goodness-of-Fit (2 of 2)
  218. 11.5: Introduction to Chi-Square Tests for Two-Way Tables
  219. 11.6: Test of Independence (1 of 3)
  220. 11.7: Test of Independence (2 of 3)
  221. 11.8: Test of Independence (3 of 3)
  222. 11.9: Test of Homogeneity
  223. 11.10: Putting It Together- Chi-Square Tests
  224. 11.11: StatTutor- Risk Factors for Low Birth Weight
  225. 11.12: Assignment- Test of Independence Using Technology
  226. 11.13: Assignment- Using Technology with Data to Run a Hypothesis Test
  227. 12: Appendix
  228. 12.1: Faculty Resources Overview
  229. 12.2: Pacing
  230. 12.3: PDF
  231. 12.4: PowerPoints
  232. 12.5: Assignments
  233. 12.6: Question Banks
  234. 12.7: Additional Resources
  235. 12.8: I Need Help
  236. 12.9: About This Course
  237. 12.10: Course Contents at a Glance
  238. 12.11: Learning Outcomes
  239. Back Matter
  240. Index
  241. Glossary
  242. Glossary
  243. Detailed Licensing