# Part 2: Conduct and report the appropriate statist

## Part 2: Conduct and report the appropriate statistics for the data set you are given based on the scenario below as one would for an academic journal. Be sure to report the means, group sizes, and standard deviations of the discrete variables in a table and to make a plot of all the significant effects.

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Part 2: Conduct and report the appropriate statistics for the data set you are given based on the scenario below as one would for an academic journal. Be sure to report the means, group sizes, and standard deviations of the discrete variables in a table and to make a plot of all the significant effects.

Scenario: A group of researchers (although the data are made up, this is based on a real study that was just published in Psychological Science Joel, Teper, & MccDoncad, 2014) wants to investigate how likely people are to agree to date unattractive people out of pity. In order to do this, they asked 40 heterosexual female participants (raterstst) to rate 20 male confederates (rated) of different attractiveness. The confederates were also present in the lab and were introduced as participants in the same study. Participants rated the confederates in terms of how likely they would be to go on a date with each man (on a scale from 0 = extremely unlikely to 100 = extremely likely). For half of the rated confederates, the confederate had left the room when participants gave the rating to the experimenter (absent condition). For the other half of the rated confederates, the confederates were present in the room and listening when the participants gave the rating to the experimenter (present condition). In order to see if attractiveness played a role, the researchers also obtained attractiveness ratings (from 0 = extremely unattractive to 10 = extremely attractive) for the 20 photographs from a different group of participants. Does the knowledge that the rated person will hear their rating (and perhaps be hurt) lead participants to give higher ratings? What role does the attractiveness of the rated person play? Does the pity effect disappear for very attractive people?

Instructions: Conduct and report the appropriate statistics using the data provided as one would for a Results section an academic journal. References are not necessary. Be sure to report the means, group sizes, and standard deviations of the discrete variables in a table and to make a plot of all the significant effects. Perform and report three analyses

1. A standard Analysis of Variance with rating condition as a discrete predictor.

2. A standard multiple regression model with rating condition as a discrete predictor and attractiveness as c continuous predictor 3. A linear mixed model with rating condition as c discrete predictor and attractiveness as c continuous predictor and random intercepts for both participant and rated person (as we want to be able to generalise the results beyond the 40 ratter’s and the 20 rated individuals). Are the results of the three analyses similar? If not, explain (in non-technical terms) why not. Which analysis is more appropriate to the data? In layperson (non-academic) language describe the results and summarise the answers to the two following questions also given at the end of the scenario paragraph Does the knowledge that the rated person will hear their rating (and perhaps be hurt) lead participants to give higher ratings? What role does the attractiveness of the rated person play? Does the pity effect disappear for very attractive people? Finally, calculate Bayes Factors for the ANOVA and the regression models and perform a power analysis based on the observed effect for these models. Explain how the results of these analyses effect your interpretation. (2000 words maximum)