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Data: Quantitative (Histogram, Stem & Leaf, Boxplots) versus Categorical (Bar or Pie Chart) Boxplots: 5 Number Summary, IQR, Outliers???, Comparisons Center, Shape & Spread! For Skewed Data use…median & IQR For Symmetric data use…mean & SD Normal Model (68 - 95 - 99.7), SD & z- scores

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Linear Regression: Explanatory and response variables. Association versus Correlation Correlation Coefficient - strength and direction Residuals R-squared Influential Points (leverage) & outliers Extrapolation Ladder of Powers

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Random Digits & Simulations –Identify component –Explain how model outcome –Explain how simulate trial –State response variable –Run trials –Analyze response variable –State conclusion in context

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Surveys –Population versus sample –SRS –Randomizing & representative –Sampling Variability –Design: Stratified Cluster Systematic

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Watch out for bias!!! –Voluntary –Convenience –Under-coverage –Non-response –Response

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Observational Studies –Retrospective versus prospective Experiments –Random assignment of subjects –Level, factor & treatments –4 principles of experimental design Control extraneous variation Randomize subjects Replicate Block & blind –Statistically significant??? –Control versus placebo –Best experiments are randomized, comparative (control), double-blind & placebo-controlled!!!

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–Matched Pairs Match subjects that are similar in ways not under study (ex: right & left feet) –Randomized Block Design –Causation? If only possible explanation for the difference is… –Lurking versus confounding variables

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Probability Rules –Complement –Addition Rule (Disjoint) –General Addition Rule –Multiplication Rule (Independent) –Conditional Probabilities & Independence –Tree Diagrams

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Random Variables –Expected Value –Standard Deviation –Means & Variances Factors –Change mean & variance Addends –Change mean but not variance Combining Random Variables –Means Add or Subtract –Always add variances

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Probability Models –Geometric When do we see the first success??? Conditions Expected Value & SD –Binomial k successes in n trials Conditions Expected Value & Standard Deviation

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Write the hypothesis & conditions for the following… –1 Proportion z-test –2 Proportion z-Test –1 Sample t-test –2 Sample t-test –Paired Data –Chi-Squared Family of Tests –Slope of regression line

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M.C. Tips Underline key words Write out your procedure Dont Rush Balance your time (2-3 min per ???)

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F.R. Tips Do easier ???s first Answer the ??? Asked (underline) If miss 1 part, answer a part you know Inference: Conditions/Mechanics/Conclusion Be concise Verify conditions (not just a checklist) 2 decimal places for z-scores, 4 for p-values Context is King!!!

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Multiple Choice Answers

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Midterm Review IN CLASS. Chapter 1: The Art and Science of Data 1.Recognize individuals and variables in a statistical study. 2.Distinguish between categorical.

Midterm Review IN CLASS. Chapter 1: The Art and Science of Data 1.Recognize individuals and variables in a statistical study. 2.Distinguish between categorical.

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