Choose from the following statistical analyses used in the scenarios. (Options c
ID: 3246763 • Letter: C
Question
Choose from the following statistical analyses used in the scenarios. (Options can be used more than once, but all will be used at least once.) Descriptive Stats ANOVA ANOVA One way Repeated-Measures Chi-square test for Independence Chi-Square test for goodness of fit Correlation Multiple Regression Single sample t-statistic Independent t-statistic Repeated Measures t-statistic Ann wonders if the proportions of t-shirt sizes sold are consistent with the proportion of t-shirt sizes ordered A researcher would like to explore the relationship between optimism and perceived stress. She suspects that higher levels of optimism would be associated with lower levels of perceived stress A researcher would like to know which is a better predictor of negative affect optimism or self-esteem David is interested in the question: Are younger people (18-29 years) more likely to be smokers than older people (45+ years)? Ellie conduct a study to find out if there is a significant change in depression levels across three time periods (prior to an intervention after the intervention and at a three-month follow-up)Explanation / Answer
Ann wants to determine whether the proportions of t-shirt sizes sold (that is a particular frequency distribution )are in consistent with the proportions of t-shirt sizes ordered (specific distribution). The inferential procedure to determine this is to use Chi-square test for goodness of fit test.
A reseracher is interested to find relationship between optimism and perceived stress, where, she suspects higher level of optimism is associated with lower level of perceived stress. The two variables-response, y is optimism and predictor, x is perceived risk. Therefore, to measure relationship (in terms of direction-positive or negative, form-linear or not and strength-how close the points lie to the line) one should compute correlation coefficient.
The negative affect is the resposne variable and the two predictors are optimism and self esteem. Thus, in order to determine which one is the better predictor than the other, one should employ multiple regression analysis. The output includes multiple correlation coefficient, which can determine the percent of variation in negative affect accounted for variability in optimism and self esteem in total.
The parameter to be addressed in the hypothesis is mean, that is mean number of cigarette smoked per day. There are two independent samples-younger people (18 to 29 years) and older people (45+ years). The researcher wants to know whether mean number of cigarette smoked per day is higher for younger people compared to older. This requires independent samples t test. Therefore, use independent t statistic.