1. (a) Explain the role of moderator and mediating variables. (b) Elucidate the application of different scales of measurement of data in statistics. OR (a) Make your friend unders... 1. (a) Explain the role of moderator and mediating variables. (b) Elucidate the application of different scales of measurement of data in statistics. OR (a) Make your friend understand the difference between symmetrical and skewed distribution using diagrams. (b) State the significant distinction between dispersion and skewness. 2. (a) Differentiate between the absolute and relative measures of dispersion with an example. Suppose Editor A edits 40 pages on average, with a standard deviation of 5, and Editor B edits 160 pages on average, with a standard deviation of 15. Which editor shows less variability? (b) What is a quartile? How is dispersion measured based on quartiles? For the following sample data in an ordered array, calculate the first (Q1), second (Q2), and third quartiles (Q3): 11 12 13 16 16 17 18 21 22.
Understand the Problem
The question asks for explanations and comparisons related to statistics and data analysis, including the role of certain variables, measures of dispersion, and quartiles.
Answer
Moderators affect relationships, mediators explain them. Use scales like nominal, ordinal, interval, ratio. Absolute measures in units, relative in ratios. Quartiles split data into quarters; Q1 = 13, Q2 = 16, Q3 = 18.
- (a) Moderator variables affect the strength/direction of a relationship, while mediating variables explain the relationship. (b) Scales include nominal, ordinal, interval, and ratio, used for categorization, ranking, equal intervals, and absolute zero, respectively. OR (a) Symmetrical distribution is even on both sides; skewed has asymmetry. (b) Dispersion measures spread; skewness measures asymmetry.
- (a) Absolute dispersion is in original units, relative is in ratio. Editor A (lower coefficient of variation) shows less variability. (b) A quartile divides data into quarters. Q1 = 13, Q2 = 16, Q3 = 18 for given data.
Answer for screen readers
- (a) Moderator variables affect the strength/direction of a relationship, while mediating variables explain the relationship. (b) Scales include nominal, ordinal, interval, and ratio, used for categorization, ranking, equal intervals, and absolute zero, respectively. OR (a) Symmetrical distribution is even on both sides; skewed has asymmetry. (b) Dispersion measures spread; skewness measures asymmetry.
- (a) Absolute dispersion is in original units, relative is in ratio. Editor A (lower coefficient of variation) shows less variability. (b) A quartile divides data into quarters. Q1 = 13, Q2 = 16, Q3 = 18 for given data.
More Information
Moderators alter the effect of a relationship, mediators explicate the link. Scales help in proper data analysis categorization.
Tips
Avoid confusing mediator with moderator roles. Ensure correct order in quartiles calculation.
Sources
- Mediator vs. Moderator Variables | Differences & Examples - Scribbr - scribbr.com
- What is the difference between moderation and mediation? - Statistics Solutions - statisticssolutions.com
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