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Who Wants to be a Statistician? Live from College Station! Game Rules • Using StataQuest, students will be selected randomly to participate • An ordering question will be asked of the first student on the list • If the student gets it right, he/she comes to the “hot seat” • If the student does not get it right, it goes to the next student • This continues until someone gets to the hot seat • You may earn up to three points at the hot seat Game rules • Correct answer +1 pts • If you are satisfied with your points, you • Incorrect - back to 0, may stop Question goes to next on list for a chance for • So, let’s get started the point • You may use one of three “lifelines” phone (or ask) a friend, ask the class, or 50/50 Put the following topics in order, as they were presented in class A. B. C. D. F distribution Chi-square curve Normal curve Student’s t • Correct Order: – – – – Normal Chi-Square t F Which of the following is a measure of spread? A. Standard Deviation B. Mean C. Median D. Proportion 50-50: A or C A is correct! Which of the following is a robust measure of center? A. Mean B. Standard Deviation C. Median D. SIQR 50-50: Median, SIQR Correct Answer: C Which of the following graphs is best suited for side by side comparisons? A. Stem and Leaf B. Box Plot C. Histogram D. Normal Quantile 50-50 B,D B is correct! Place the following in the order they were presented in class A. B. C. D. One Sample t Rank-Sum Two Sample t ANOVA • Correct Ordering – – – – One Sample t Two Sample t Rank Sum ANOVA Under which of the following conditions is the sample mean NOT normally distributed? A. Large sample from a normal population B. Small sample from a normal population C. Large sample from a non-normal pop D. Small sample from a non-normal pop 50-50: C or D The correct answer is D! Based on the box-plots below, which SAMPLE has the highest median? A C B D • • • • • A. B. C. D. E. Can’t tell from info given. • 50-50: A or E • A is correct! Which of the following terms describe the data set graphed below? A. Left skewed B. Right skewed C. Normal D. Symmetric - heavy tails E. Symmetric - light tails 50 - 50: A or B B is correct! Put the following procedures in order: the one that requires the most sums of squares first A. B. C. D. Two-Way ANOVA Blocked ANOVA Two sample t One-Way ANOVA • Correct order is: – – – – Two way ANOVA (4) Blocked ANOVA (3) One way ANOVA (2) Two sample t (0) Which of the following should be used to compare weekly study hours between freshmen & sophomores? A. One Sample t B. Paired t C. Two Sample t D. Rank-Sum E. C or D - it depends 50-50 C or E E is correct! Which of the following should be used to compare weekly study hours of students - categorized by classification only? A. One sample t B. One way ANOVA C. Two way ANOVA D. Blocked ANOVA 50-50 B or C B is correct! Which of the following should be used to compare weekly study hours of students - categorized by classification and major? A. Two sample t B. One way ANOVA C. Blocked ANOVA D. Two way ANOVA E. C or D - it depends 50-50: C or E E is correct! Put the following examples in the order they were presented in class: A. B. C. D. Bug Traps Exercise & Lactic Acid Smoking Mommas Frozen Dinners • Correct Order – – – – D. B. C. A. Which procedure should be run after rejecting the null hypothesis in one-way ANOVA? A. Two Way ANOVA B. One Way ANOVA C. Two sample t D. Tukey’s procedure 50-50 C or D D is correct! The null hypothesis is rejected when A. The p-value is less than a B. The p-value is greater than a C. The confidence interval includes the null D. The CI does not include the null E. A and D 50 - 50: B or E E is correct! Which of the following should be tested first in two-way ANOVA? A. H0: no interaction B. H0: no A effect C. H0: no B effect D. Order doesn’t matter in two-way ANOVA E. These tests are not part of two-way ANOVA 50-50 A or E A is correct! Put the following graphs in the order they have been presented since Exam I: A. B. C. D. Box plots Normal Quantiles Histogram Stem and Leaf • Correct Order – – – – Stem and Leaf Histogram Box plots Normal Quantiles To compare two non-normal populations with small samples, use A. One sample t B. Paired t C. Two Sample t D. Rank-Sum 50-50: B or D D is correct! Non-normality is BEST detected with a A. Box Plot B. Stem and Leaf C. Histogram D. Normal Quantile Plot 50-50 C or D D is correct! The paired t test is equivalent to A. Two sample t B. One sample t on differences C. Two way ANOVA D. Blocked ANOVA 50-50 B or D B is correct! Put the three great statisticians in the order they were first mentioned in class A. “Student” B. Florence Nightingale C. John W. Tukey • Correct Order – Nightingale – “Student” – Tukey The null hypothesis is rejected when A. The p-value is less than a B. The CI does not include the null value C. The p-value is greater than a D. The CI includes the null value E. A and B F. C and D 50-50: E or F E is correct! Find the mean of the data represented in the stem-and-leaf below: 5|7 6 | 03 A. 57 B. 60 C. 63 D. Not enough information 50-50: B or C B is correct! An interaction plot A. Should have approximately parallel lines if no interaction is present B. Should have crossing lines if no interaction is present C. May have crossing lines - even if we fail to reject the null hypothesis of no interaction D. A and C 50 - 50 A or D D is correct! Computaions Required • Mean or Median from a small data set • df for one-sample or paired t Be sure to • • • • Go through the notes Examine the HW and Quiz Keys Get HW9 Key before leaving Understand processes, not try to memorize facts • Interpret all four graphs: stem-and-leaf, histogram, box-plot, normal quantile plot