# PSM510 Problem Analysis And Statistics

## Question:

A researcher is developing a scale to measure personality. They have been developing items using the 8-steps approach and have now begun to pilot test their items. They run an exploratory factor analysis on 44 items, using data collected from over 300 participants – the data has already been checked for any missing cases and a few missing entries replaced with the mean for that item, there are no negatively worded items.  The output file ‘Assignment 2 Factor Analysis’ shows the results from this analysis. You should use this to answer the questions below.

1. Based on item facility, are there any items you would flag, and why
2. Report whether the scale is reliablewith the appropriate statistic, and whether any further items should be flagged.
3. A principle components analysis was run with orthogonal rotation. Coefficients less than .3 were suppressed.
1. Using the output explain how many factorsyou would suggest extracting and why (what are you basing this decision on, how would you decide
2. Are there any cross-loadingitems If so what should the researcher do with those items
4. When you have decided how many factors you would expect to retain, explain what the researchers next stepsshould be.

A team of researchers is interested in understanding the relationship between personality traits, narcissism and conscientiousness, trait mindfulness, and resilience. They ran a survey measuring narcissism, conscientiousness, resilience, and mindfulness with 150 employees in a financial services institution. The dataset has been checked for missing values, and there were no influential cases identified using cooks, leverage or Mahalanobis values. The file ‘Assignment 2 Correlational output’ contains the output from some correlational analysis. Use this output to answer the questions below.

1. What is meant by influential casesand why do we need to check for them
2. There are five key assumptionsfor linear regression analysis- using the output report how you would check each one, and whether it is met or violated in the dataset.
3. Report whether any of the predictors significantly predict resilience, and report the appropriate statistics.
4. The researchers were interested in whether mindfulness predicted resilience via conscientiousness.
1. What type of relationship are they investigating
2. Report the appropriate statistics to show whether the above relationship was found to be significant. You should use tables and figures where appropriate.
3. Explain what these results mean to a non-specialist audience.
5. The researchers found a significant interaction between narcissism and conscientiousness in predicting resilience.
1. Report the appropriate statistics to show that this is the case. You should use tables and figures where appropriate.
2. Explain the interaction effect (simple slopes) in a way that a non-specialist audience could understand.

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