PSY 211: Exam 5 No calculators allowed. Please return the exam booklet and your scantron upon completion. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 The value of F increases as the variability across groups increases relative to the amount of chance variability. “Height” is an example of a categorical variable. Zero is the minimum value for F and for χ2. ANOVA is used instead of the between group t-test when the independent variable has 3 levels instead of 2. The correlation coefficient could be used to compare Favorite Barnyard Animal to Favorite Color. ANOVA stands for ANalysis Of VAriables. To obtain a statistically significant result, ANOVA requires more participants than repeated-measures ANOVA. A dependent variable is a “cause” and an independent variable is an “effect”. Of the post-hoc tests, the LSD test is the most conservative or cautious. To examine whether a sample has approximately the same percentage of vegetarians as the general population, one would use the chi-square test for independence. Chi-square would be used to examine gender differences in reading speed. To examine changes in happiness scores across ten different time points, repeatedmeasures ANOVA would be used. The chi-square test for independence can involve a single categorical variable. A “p-value” indicates the probability that a result is accurate. The critical F value for ANOVA will vary, depending on sample size and the number of groups present. T F T F T F T F T F T F T F T F T F T F T F T F T F T F What statistical test would you use to compare racial/ethnic identification (1=White, 2=African American, 3=Asian/Pacific Islander, 4=Latino, 5=Native America, 6=biracial/multiracial, 7=other) to emotional expressivity (from 1=low to 9=high)? a) correlation b) ANOVA c) chi-square How many of the following would be considered “parametric tests”? I. ANOVA II. Chi-square test for goodness of fit III. Regression IV. Correlation a) one b) two c) three 18 T F How many of the following statistics have a maximum value of infinity (∞)? I. r II. F III. χ2 a) 1 b) 2 c) 3 19 Below is a chart summarizing data from a study comparing three different treatments for Snake Phobia. There were 7 different people randomly assigned to each group, and the numbers in the boxes indicate fear scores on a scale from 0 (not at all afraid) to 10 (completely afraid), for each person. What do you suppose would be the value for F? Placebo Exposure Therapy Cognitive Therapy 8 9 6 10 7 4 6 1 2 1 6 0 2 3 8 2 6 5 5 5 6 a) 0.55 b) 1.52 c) 2.49 20 For repeated-measures ANOVA, the p-value associated with the F-test will be less than .05 when scores… a) do not reliably differ across any time points b) reliably differ for at least one time point c) reliably differ across all time points 21 What is the purpose of a post-hoc test? a) Indicate whether the ANOVA is significant b) Set the critical F value c) Describe which levels of a factor reliably differ 22 Which of the following best represents a significant χ2 APA format? a) The chi-square test was statistically significant, χ2(1, N = 62) = 5.42, p = .04. b) The chi-square test was statistically significant, χ2(1, N = 37) = 0.36, p = .001 c) The chi-square test was statistically significant, χ2(1, N = 568) = 126.44, p > .05 23 If knowing someone’s gender allows you to predict their preferred political party, then gender and political party are said to be… a) independent b) codependent c) dependent 24 The test statistic chi-square (χ2) is often mispronounced. “Chi” starts with a ______ sound, and rhymes with the word ______. a) k; eye b) ch; eye c) ch; he 25 What type of test would a researcher use to compare Favorite Television Show to Favorite Sport? a) correlation b) ANOVA c) chi-square 26 ANOVA is to _______ as repeated-measures ANOVA is to _______. a) single sample t-test; repeated-measures t-test b) between-group t-test; within-subject t-test c) within-subject t-test; single-sample t-test 27 Based on the following Output, do people who sleep on their Stomach significantly differ from people who sleep in the Fetal Position in terms of crying frequency? ANOVA 85. Cry ing Between Groups W ithin Groups Total Sum of Squares 42.350 956.975 999.325 df 3 322 325 Mean Square 14.117 2.972 F 4.750 Sig. .003 Multiple Comparisons Dependent Variable: 85. Crying LSD (I) 30. Sleeping Pos ition Back Side Stomach Fetal Position (J) 30. Sleeping Pos ition Side Stomach Fetal Position Back Stomach Fetal Position Back Side Fetal Position Back Side Stomach *. The mean difference is s ignificant at the .05 level. a) Yes b) No c) Cannot be determined Mean Difference (I-J) -.6167 -.8315* -1.3048* .6167 -.2148 -.6881* .8315* .2148 -.4733 1.3048* .6881* .4733 Std. Error .3981 .4139 .4079 .3981 .2442 .2338 .4139 .2442 .2599 .4079 .2338 .2599 Sig. .122 .045 .002 .122 .380 .003 .045 .380 .069 .002 .003 .069 95% Confidence Interval Lower Upper Bound Bound -1.400 .167 -1.646 -.017 -2.107 -.502 -.167 1.400 -.695 .266 -1.148 -.228 .017 1.646 -.266 .695 -.985 .038 .502 2.107 .228 1.148 -.038 .985 28 Based on the Output above, what df values would be used in an APA-style write-up? a) 3, 222 b) 3, 225 c) 222, 225 29 The following Output comes from which type of test? 33. Be lief about Most Stigmatized Group Et hnic Minority Gay men / Lesbian women At heis ts Total Observed N 51 Ex pec ted N 93.0 Residual -42.0 45 93.0 -48.0 183 279 93.0 90.0 a) chi-square test for goodness of fit b) chi-square test for independence c) between-group t-test Use the following Output for #30. Researchers examined whether being a parents (yes or no) was related to a person’s most important political issue (education, the economy, healthcare, foreign policy, or some other issue). 13. Parent * 20. Top Political Issue Crosstabulation 13. Parent No Yes Total Count Expected Count Count Expected Count Count Expected Count Education 76 68.5 9 16.5 85 85.0 20. Top Political Iss ue Economy Healthcare Foreign Policy 58 34 11 65.3 39.5 10.5 23 15 2 15.7 9.5 2.5 81 49 13 81.0 49.0 13.0 Other 46 41.1 5 9.9 51 51.0 Chi-Square Te sts Pearson Chi-Square Lik elihood Ratio Linear-by-Linear As soc iation N of Valid Cases Value 15.516 a 15.831 .080 4 4 As ymp. Sig. (2-sided) .004 .003 1 .777 df 279 a. 1 c ells (10.0%) have ex pec ted c ount les s than 5. The minimum expected count is 2.52. 30 How would you summarize the Output above? a) Being a parent is associated with somewhat greater interest in the economy and somewhat less interest in education. b) Being a parent is associated with a strong interest in the economy and healthcare, whereas being a non-parent is related to a strong interest in education, foreign policy, and other political issues. c) Being a parent is unrelated to political preferences. Total 225 225.0 54 54.0 279 279.0 Study Guide Exam #5 PSY 211 Disclaimer: This is a guide of the main points that I consider to be important. You are responsible for all material covered in lecture. You do not need to know everything from the book, but do use the book if you need help clarifying anything presented in lecture. Format: The exam is 120 points. There will be only 30 multiple choice questions. Suggested Learning Strategies: Study in small groups Ask questions or e-mail Mike Review last semester’s exam, posted in this file Know how to do all homework problems Make up your own multiple choice questions Conceptual Questions (may appear in multiple choice or short-answer): Continuous vs. categorical variable *When to use each type of analysis: correlation, between-group t-test, repeated-measures t-test, ANOVA, repeated-measures ANOVA, chi-square The independent and dependent variable for each type of analysis Similarities between t-tests and ANOVA Differences between ANOVA and repeated-measures ANOVA Factor vs. level Null and alternative hypotheses for ANOVA Rationale of the F statistic for ANOVA and repeated-measures ANOVA Range of F values, approximate F values when null hypothesis is correct vs. when the alternative hypothesis is correct Shape of the F distribution; differences between the F, t, and z distributions Critical F value is based on two different reference numbers called degrees of freedom, with one based on the sample size, and one based on the number of groups Rationale of using post hoc tests Difference between F-test and post hoc tests How the LSD test differs from other post hoc tests *Basic information from Output for ANOVA, repeated-measures ANOVA, and chisquare Identify appropriate APA style write-ups on multiple choice questions *Based on a description of a study be able to identify whether ANOVA or repeatedmeasures ANOVA would be used Parametric vs. non-parametric tests Difference between chi-square test for goodness of fit and chi-square test for independence Hypothesis testing with chi-square Distinction between observed vs. expected frequencies in chi-square Independent vs. dependent An old exam is posted below. A few questions may be irrelevant, but if you can do well on this exam, you’ll probably do well on our exam. OLD EXAM. Answers available online: http://www.psychmike.com/psy211f07/guide5.doc Section I. Multiple Choice 1 ANOVA is to _______ as repeated-measures ANOVA is to _______. a) single sample t-test; between-group t-test b) within-subject t-test; single-sample t-test c) between-group t-test; within-subject t-test 2 Chi-square test for goodness of fit usually involves how many categorical variables? a) 0 b) 1 c) 2 3 With regard to ANOVA, how many of the following statements are true? I. The null hypothesis is false when all groups have the same mean. II. If F = 0.13, the null hypothesis should always be accepted. III. If F = 3.56, the alternative hypothesis should always be accepted. a) 0 b) 1 c) 2 or 3 4 Compared to the LSD post hoc test, the Bonferroni test is more _____. a) conservative b) independent c) liberal 5 Attractiveness is likely this type of variable a) polynomial b) continuous c) categorical 6 Using ANOVA, F will always fall within what range? a) between negative infinity and infinity b) between 0 and 1 c) between 0 and infinity 7 The test statistic chi-square (χ2) is often mispronounced. “Chi” starts with a ______ sound, and rhymes with the word ______. a) ch; he b) ch; eye c) k; eye 8 How many of the following are parametric tests? I. standard deviation II. between-group t-test III. chi-square IV. repeated-measures ANOVA a) 1 b) 2 c) 3 9 Which of the following best characterizes the null hypothesis for chi-square tests? a) The frequency of people in each category will be a specific proportion b) The expected frequencies will be significantly lower than obtained frequencies c) The group means expected at the population level will not reliably differ 10 Statistical test most appropriate for comparing depression (diagnosis vs. no diagnosis) to favorite color (blue vs. black vs. other) a) correlation (r) b) ANOVA (F) c) chi-square (χ2) 11 To determine whether an obtained F value is statistically significant, it must be compared to a critical F value. What two pieces of information are needed to determine the critical F value? a) sample size, number of groups b) mean, sample standard deviation c) expected frequency, obtained frequency 12 A CMU task force on diversity examines the relationship between ethnicity and several outcome variables, such as GPA, well-being, and anxiety. Well-being would best be characterized as a) an independent variable b) a confounding variable c) a dependent variable 13 What is the function of a post hoc test? a) Indicate whether any statistically significant group differences have occurred b) Describe which groups reliably differ c) Set the critical value for the F test (or chi-square) 14 The repeated-measures ANOVA is designed to decrease this type of error a) individual differences b) uncontrolled environmental factors c) unreliability of measures 15 16 Which of the following most represents a significant ANOVA correctly typed in APA format? a) The ANOVA was statistically significant, F(3, 256) = 12.31, p > .05 b) The ANOVA was statistically significant, F(5, 61) = 1.13, p < .001 c) The ANOVA was statistically significant, F(4, 81) = 7.13, p = .04 Based on the following repeated-measures ANOVA data, estimate the value of F: Participant Ellen Jim Andrea Brian Corey a) 0.92 b) 1.87 c) 3.68 Intake 10 5 7 9 4 Discharge 9 4 6 10 7 Follow-up 10 6 7 9 4 17 Which of the following would lead to a statistically significant chi-square? a) Approximately equal expected and observed frequencies b) An observed frequency of zero in at least one of the groups c) Discrepancy between expected and observed frequencies 18 As variability due to chance decreases, the value of F will a) increase b) stay the same c) decrease 19 If F = 5, the result is statistically significant a) Always b) Sometimes c) Never 20 In a psychiatric hospital, researchers attempt to examine the relationship between psychological diagnosis and number of suicide attempts. The diagnosis of “schizophrenia” would be considered a) an element b) a level c) a factor 21 If F = 1, the result is statistically significant a) Always b) Sometimes c) Never 22 Two variables, gender and ethnicity, are most likely a) independent b) codependent c) dependent 23 Type of test typically used for longitudinal studies a) ANOVA b) repeated-measures ANOVA c) chi-square test for goodness of fit 24 One study (N = 47) uses ANOVA, and another study (N = 47) uses repeatedmeasures ANOVA. Which study design has more power? a) repeated-measures ANOVA b) ANOVA c) they’re equal in power The remaining multiple choice problems (25-30) involve interpreting SPSS Output. Be sure to write all answers on the scantron form. 25 The following Output is from what type of test? ANOVA 87. Delaying Gratification Between Groups W ithin Groups Total Sum of Squares 3.038 995.882 998.920 a) between-group t-test b) ANOVA c) repeated-measures ANOVA df 5 320 325 Mean Square .608 3.112 F .195 Sig. .964 26 There are two important chi-square Output boxes in SPSS. One of them is directly below. Determine which box (A, B, or C) is the correct corresponding second box. Only one answer is correct. The other boxes contain incorrect information. 2. Gender * 26. Electronic Communication Crosstabulation 2. Gender Female Male Total Count Expected Count Count Expected Count Count Expected Count Cell Phone 123 26. Electronic Communication Ins tant Text E-mail Messaging Messaging 21 42 37 118.3 23.9 44.5 36.3 223.0 50 14 23 16 103 54.7 11.1 20.5 16.7 103.0 173 35 65 53 326 173.0 35.0 65.0 53.0 326.0 Chi-Square Te sts a) Pearson Chi-Square Lik elihood Ratio Linear-by-Linear As soc iation N of Valid Cases Value 2.205a 2.161 3 3 As ymp. Sig. (2-sided) .531 .540 1 .569 df .325 326 a. 0 c ells (.0% ) have expected count less than 5. The Chi-Square Te 06. sts minimum expected count is 11. b) Pearson Chi-Square Lik elihood Ratio Linear-by-Linear As soc iation N of Valid Cases Value 3.918a 3.725 3 3 As ymp. Sig. (2-sided) .321 .325 1 .468 df .325 325 a. 0 c ells (.0% ) have expected count less than 5. The Chi-Square Te 06. sts minimum expected count is 11. c) Pearson Chi-Square Lik elihood Ratio Linear-by-Linear As soc iation N of Valid Cases Value 9.831a 9.462 .465 Total 223 3 3 As ymp. Sig. (2-sided) .023 .038 1 .027 df 326 a. 0 c ells (.0% ) have expected count less than 5. The minimum expected count is 11. 06. 27 A researcher conducted a study examining whether being in a relationship (yes or no) was related to favorite fast food place. How would a researcher correctly summarize the following analyses? 27. Fast Food Choice * 19. Relationship Status Crosstabulation 27. Fas t Food Choice Arby's Burger King McDonald's Taco Bell Wendy's Other Total 19. Relationship Status No Yes 23 31 25.3 28.7 16 10 12.2 13.8 21 16 17.4 19.6 56 64 56.3 63.7 27 28 25.8 29.2 10 24 16.0 18.0 153 173 153.0 173.0 Count Expected Count Count Expected Count Count Expected Count Count Expected Count Count Expected Count Count Expected Count Count Expected Count Total 54 54.0 26 26.0 37 37.0 120 120.0 55 55.0 34 34.0 326 326.0 Chi-Square Te sts Pearson Chi-Square Lik elihood Ratio Linear-by-Linear As soc iation N of Valid Cases Value 8.366a 8.528 1.162 5 5 As ymp. Sig. (2-sided) .137 .129 1 .281 df 326 a. 0 c ells (.0% ) havefinding expectediscount than who 5. Theare not in a relationship are a) The most interesting that less people minimum expected count is 12. 20. more likely to prefer Burger King or McDonald’s, when compared to those in a relationship. b) Surprisingly, daters are more likely to enjoy Arby’s, Taco Bell, and “Other” fast food places than non-daters. c) Unfortunately, dating status was not related to fast food preference. 28 Based on our data file, an ANOVA was conducted comparing type of vehicle (none, car, or other) to enjoyment of violence shows (high scores = more enjoyment). The F test was statistically significant, and the post hoc results are below. How many of the following statements are true? I. II. III. IV. V. People who do not have cars (None) watch significantly more violent shows than people who drive cars (Car). People who drive cars (Car) watch significantly more violent shows than people who drive other types of vehicles (Other). There were no significant differences between people who do not have cars (None) and people who drive other types of vehicles (Other) None of the observed differences are likely to occur at the population level. None of the observed differences are due to sampling error. Multiple Comparisons Dependent Variable: 82. Violent Shows LSD (I) 21. Vehicle None Car Other (J) 21. Vehicle Car Other None Other None Car Mean Difference (I-J) .3173 -.2505 -.3173 -.5679* .2505 .5679* Std. Error .3043 .3513 .3043 .2358 .3513 .2358 *. The mean difference is s ignificant at the .05 level. a) 1 b) 2 c) 3 Sig. .298 .476 .298 .017 .476 .017 95% Confidence Interval Lower Bound Upper Bound -.281 .916 -.942 .441 -.916 .281 -1.032 -.104 -.441 .942 .104 1.032 29 The following data were used to evaluate the effectiveness of an intervention designed to decrease PTSD symptoms. Ratings of PTSD symptoms were made on a 0-10 scale, with higher scores indicating more symptoms. Ratings were made at the start of the study (Intake), end of the study (Discharge), and at a 1-year follow-up (Follow-up). Using the following Output, report the appropriate value for F. Descriptive Statistics Mean 8.0645 6.6452 7.6774 Intake Discharge Follow-up Std. Deviation 1.80620 1.42708 2.11955 N 31 31 31 Tests of Within-Subjects Effects Measure: MEASURE_1 Source factor1 Error(factor1) Sphericity Assumed Greenhous e-Geisser Huynh-Feldt Lower-bound Sphericity Assumed Greenhous e-Geisser Huynh-Feldt Lower-bound Type III Sum of Squares 33.376 33.376 33.376 33.376 237.290 237.290 237.290 237.290 df 2 1.980 2.000 1.000 60 59.388 60.000 30.000 Mean Square 16.688 16.860 16.688 33.376 3.955 3.996 3.955 7.910 F 4.220 4.319 4.319 4.373 Pairwise Comparisons Measure: MEASURE_1 (I) factor1 1 2 3 (J) factor1 2 3 1 3 1 2 Mean Difference (I-J) 1.419* .387 -1.419* -1.032 -.387 1.032 Std. Error .503 .483 .503 .528 .483 .528 a Sig. .008 .430 .008 .060 .430 .060 95% Confidence Interval for a Difference Lower Bound Upper Bound .392 2.447 -.600 1.374 -2.447 -.392 -2.110 .045 -1.374 .600 -.045 2.110 on estimated marginal means a) F =Based 4.220 *. The b) F = 4.319mean difference is s ignificant at the .05 level. a. Adjustment for multiple comparis ons : Least Significant Difference (equivalent to no c) F = 4.373 adjustments). 30 Is the treatment reliably effective at follow-up? a) Yes b) No c) More information needed Sig. .019 .020 .019 .049 Section II. Short Answer 31. [6 points] Describe the differences between the following four analyses: 1) correlation, 2) between-group t-test, 3) ANOVA, 4) chi-square 32. [2 points] You design a study to determine which type of several beers is the best. What type of analysis would you be most appropriate for this type of study? 33. [2 points] There are numerous political parties in the United States, and their supporters often make foolish claims of a variety of sorts. Ann Coulter is a political commentator who opposes the Democratic Party. A few months ago, she said she wished females did not have the right to vote because being female is “correlated” with voting Democrat. From a purely statistical viewpoint, what is wrong with her word choice? Another Old Exam Answers: http://www.psychmike.com/psy211/guide5.doc PSY 211: Exam #5 Name: _____________________________ Course Reference # 22032197 Mike Hoerger 1 ANOVA is to _______ as repeated-measures ANOVA is to _______. a) between-group t-test; within-subject t-test b) single sample t-test; repeated-measures t-test c) within-subject t-test; single-sample t-test 2 How many of the following statements are correct? I. F ranges from 0 to ∞ II. χ2 ranges from -∞ to ∞ III. r ranges from -∞ to ∞ a) 1 statement is correct b) 2 statement are correct c) 3 statement are correct 3 How many of the following are parametric tests? I. mode II. chi-square III. regression IV. ANOVA a) 1 test b) 2 tests c) 3 tests 4 Agreeableness is best described as a… a) categorical variable b) continuous variable c) polygamous variable 5 If F = 0.97, the data support the null hypothesis. a) Always b) Sometimes c) Never 6 The test statistic chi-square (χ2) is often mispronounced. “Chi” starts with a ______ sound, and rhymes with the word ______. a) ch; eye b) k; eye c) ch; he 7 What are post hoc tests used for? a) Describe which groups reliably differ b) Set the critical value for the F test (or chi-square) c) Indicate whether any statistically significant group differences have occurred 8 Statistical test used for comparing Favorite Season (1=Fall, 2=Winter, 3=Spring, 4=Summer) to Favorite Music (1=Country, 2=Rock, 3=Other). a) Correlation (r) b) ANOVA (F) c) Chi-square (χ2) 9 Favorite food is best described as a… a) categorical variable b) continuous variable c) polygamous variable 10 Compared to other post hoc tests, the LSD test is more… a) liberal b) independent c) conservative 11 Below is a chart summarizing data from a study comparing three different treatments for atherosclerosis, or “hardening of the arteries.” There were 7 different people randomly assigned to each group, and the numbers in the boxes indicate health scores, rated on a scale from 0 to 10, for each person. What do you suppose would be the value for F? Placebo Medication Surgery 1 1 1 2 2 3 6 2 4 4 4 5 5 5 6 7 8 8 9 9 9 a) less than 1 b) equal to 1 c) greater than 1 12 Which of the following best describes a significant chi-square in APA format? a) The chi-square test was significant, χ2(1, N = 20) = 77.45, p = .50 b) The chi-square test was significant, χ2(1, N = 336) = 0.23, p < .001 c) The chi-square test was significant, χ2(1, N = 94) = 14.63, p = .03 13 This statistical test usually only involves a single variable a) ANOVA b) Chi-square test for independence c) Chi-square test for goodness of fit 14 ANOVA is used instead of t-tests when the independent variable has more than two… a) confounds b) levels c) factors 15 As the variability across groups increases relative to the amount of chance variability, F will… a) decrease b) stay the same c) increase 16 Two variables, Skipping Class (0=Non-skipper, 1=Skipper) and Passing PSY 211 (0=Fail, 1=Pass) are likely… a) Codependent b) Dependent c) Independent 17 “ANOVA” stands for Analysis of… a) Variegates b) Variance c) Variables 18 For repeated-measures ANOVA, the p-value associated with the F-test will be less than .05 when score… a) reliably differ across all time points b) do not reliably differ across any time points c) reliably differ for at least one time point 19 To obtain a statistically significant result, the repeated-measures ANOVA requires __________ ANOVA. a) fewer people than b) as many people as c) more people than 20 To examine gender differences in exam scores, this test would be used. a) correlation b) t-test c) chi-square Use the following Output to answer questions 21 and 22. This analysis examines whether childhood emotional experience (shame, anger, sadness, or anxiety) is related to current level of friends’ happiness. Descriptives 94. Friend Happines s Shame Anger Sadness Anxiety Total N 45 41 55 138 279 Mean 6.53 6.88 5.93 6.70 6.55 Std. Deviation 1.375 1.053 1.317 1.326 1.329 Std. Error .205 .165 .178 .113 .080 95% Confidence Interval for Mean Lower Upper Bound Bound 6.12 6.95 6.55 7.21 5.57 6.28 6.48 6.93 6.39 6.71 Minimum 2 5 2 4 2 Maximum 9 9 9 9 9 ANOVA 94. Friend Happines s Between Groups W ithin Groups Total Sum of Squares 28.979 462.118 491.097 df 3 275 278 Mean Square 9.660 1.680 F 5.748 Sig. .001 Post Hoc Tests Multiple Comparisons Dependent Variable: 94. Friend Happines s LSD (I) 22. Negative Emotion (Childhood) Shame Anger Sadness Anxiety (J) 22. Negative Emotion (Childhood) Anger Sadness Anxiety Shame Sadness Anxiety Shame Anger Anxiety Shame Anger Sadness Mean Difference (I-J) -.345 .606* -.170 .345 .951* .175 -.606* -.951* -.776* .170 -.175 .776* *. The mean difference is s ignificant at the .05 level. Std. Error .280 .261 .223 .280 .267 .231 .261 .267 .207 .223 .231 .207 Sig. .219 .021 .447 .219 .000 .448 .021 .000 .000 .447 .448 .000 95% Confidence Interval Lower Upper Bound Bound -.90 .21 .09 1.12 -.61 .27 -.21 .90 .42 1.48 -.28 .63 -1.12 -.09 -1.48 -.42 -1.18 -.37 -.27 .61 -.63 .28 .37 1.18 21 How many of the following statements are correct? I. The null hypothesis is supported. II. Angry children had the happiest friends. III. Friends’ happiness differed significantly across the shame and anxiety groups. a) 1 statement is correct b) 2 statements are correct c) 3 statements are correct 22 This is not one of the degree of freedom values used to find the critical F. a) 3 b) 275 c) 278 Use the following Output for question 23. The analysis examines whether people who are in relationships differ from people who are single in terms of which animal they wish they could be. 16. Relationship Status * 27. Animal for a Day Crosstabulation 16. Relationship Status Single In a Relationship Total Count Expected Count Count Expected Count Count Expected Count Dolphin 41 36.9 50 54.1 91 91.0 27. Animal for a Day Eagle Horse Dog 42 9 16 40.9 6.5 26.3 59 7 49 60.1 9.5 38.7 101 16 65 101.0 16.0 65.0 Turtle 5 2.4 1 3.6 6 6.0 Chi-Square Te sts Pearson Chi-Square Lik elihood Ratio Linear-by-Linear As soc iation N of Valid Cases Value 13.854 a 14.359 2.183 4 4 As ymp. Sig. (2-sided) .008 .006 1 .140 df 279 a. 2 c ells (20.0%) have ex pec ted c ount les s than 5. The minimum expected count is 2.43. 23 Compared to people in a relationship, people who are single were _____ likely to want to be a dolphin and were _____ likely to want to be a dog. a) less; less b) more; less c) less; more Total 113 113.0 166 166.0 279 279.0 24 The following Output comes from which type of test? 33. Be lief about Most Stigmatized Group Et hnic Minority Gay men / Lesbian women At heis ts Total Observed N 51 Ex pec ted N 93.0 Residual -42.0 45 93.0 -48.0 183 279 93.0 90.0 a) between-group t-test b) chi-square test for goodness of fit c) chi-square test for independence 25 A repeated-measures ANOVA is used to compare the body weights of people in a diet group at intake, discharge, and follow-up. The result is significant, as indicated by the following Output box. What is the p-value? Tests of Within-Subjects Effects Measure: MEASURE_1 Source factor1 Error(factor1) a) .001 b) .002 c) .003 Sphericity Assumed Greenhous e-Geisser Huynh-Feldt Lower-bound Sphericity Assumed Greenhous e-Geisser Huynh-Feldt Lower-bound Type III Sum of Squares 2137.778 2137.778 2137.778 2137.778 2395.556 2395.556 2395.556 2395.556 df 2 1.1 1.2 1.0 28 16 17 14 Mean Square 1068.889 1862.113 1805.097 2137.778 85.556 149.046 144.483 171.111 F 12.494 12.494 12.494 12.494 Sig. .001 .002 .002 .003 Part II. Short Answer 26. Below is a chart. Fill in the empty boxes in the Independent Variable and Dependent Variable columns to describe what type of variables are used for each analysis. [10pts] Analysis Correlation Independent Variable(s) Dependent Variable Multiple Regression Between-group t-test ANOVA Chi-square test for independence 27. You want to design a study to determine which type of pop is the best: Coke, Pepsi, or Dr. Pepper. Explain how you would design the study and indicate which statistical test you would use to analyze the results. [3pts[ 28. Several recent CM-Life articles have reported statistics, such as 30% of CMU students do not frequently use the University Center, and 60% of minority students are dissatisfied with campus diversity. Any criticisms of these results? [2pts] Bonus. What was something interesting you learned in PSY 211 this year? [2pts for an interesting fact. 5pts for the most interesting fact out of all students]