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Material Type: Exam; Class: METHODS OF DATA ANALYSIS; Subject: Statistics; University: Oregon State University; Term: Winter 1999;
Typology: Exams
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A. (24 points) Write the letter corresponding to the term from the list at the bottom of the page that best matches each of the following descriptions.
A. analysis-of-variance F-test B. analysis of variance table C. confounding variable D. explanatory variable E. family-wise F. least squares G. observational study H. outlier I. p-value J. pair-wise K. randomization distribution L. randomized experiment M. rank-sum test N. regression O. residual P. resistance Q. response variable R. sampling distribution S. signed-rank test T. t-test for equal means U. t-test for zero intercept V. t-test for zero slope W. 95% confidence interval X. 95% prediction interval
B. (20 points) For each data problem in 13-17 below, write a letter from the list at the bottom of the page corresponding to the most appropriate tool for answering the specified question of interest.
Tool for answering question: ________
Tool for answering question: ________
Tool for answering question: ________
Tool for answering question: _________
Tool for answering question: ________
A. One-way analysis of variance F-test. B. Unadjusted (LSD) t-test for comparing 2 of several means. C. Bonferroni-adjusted t-tests for comparing several means. D. Tukey-Kramer-adjusted t-tests for comparing each mean with each other mean. E. A t-test for some specific linear combination of several means. F. A confidence interval for a specific linear combination of means G. A t-test for the hypothesis that the intercept in a simple regression model is zero. H. A confidence interval for the intercept in a simple regression model I. A t-test for the hypothesis that the slope in a simple regression model is zero. J. A confidence interval for the slope in a simple regression model. K. A confidence interval for the mean of a response at some value of the explanatory variable. L. A prediction interval for values of the response at some value of the explanatory variable.
a) What is the 75th percentile of homework scores for lab 1? (within 1 is OK) ________
b) What is the median homework score for lab 5? (within 1 is OK) _________
c) What is the estimated standard deviation of scores about the lab mean? _______
d) How many degrees of freedom are associated with the pooled estimate of variance?________
e) What are the numerator and denominator degrees of freedom associated with the one-way analysis of variance F-test? numerator d.f.:_________ denominator d.f.: __________
f) Which of the following best describes the evidence that there is a difference in mean scores for different labs? (circle one letter)
a) Convincing b) Moderate c) Slight but suggestive d) No evidence of a difference
D. Questions 21 - 27 pertain to the following data problem.
Diameters (in mm) of 5 bolts were measured on each of days 1-8 after maintenance of a machine that makes the bolts. It was desired to see if bolt diameter decreases with increasing time after maintenance.
Source of variation df Sum of Squares Mean Square F-stat
Between groups (a)__________ (c)__________ (d)___________ (f)______
Within groups (b)__________ 852 (e)___________
Total 39 1684
a) The Tukey-Kramer confidence intervals will tend to be too wide; Bonferroni is more appropriate. b) The question of interest implies a particular planned comparison. c) It is the pair-wise confidence levels, and not the family-wise that is of interest for this problem. d) Using the Tukey-Kramer in this problem would be a form of data-snooping. e) The question of interest only requires a comparison of two of the means; not each mean with each other.