CHAPTER &BIVARIATE; STATISTICAL ANALYSIS WITH CONTINUOUS VARIABLES HOMEWORK ASSI
ID: 2930233 • Letter: C
Question
CHAPTER &BIVARIATE; STATISTICAL ANALYSIS WITH CONTINUOUS VARIABLES HOMEWORK ASSIGNMENT TWO: NORMAL OR NOT NORMAL? For each of the following sets of univariate statistics for independent (IV) and dependent (DV) con- tinuous variables, examine the mean, median, and mode. Would you want to interpret a Pearson correlation or a Spearman's correlation (Por S)? Ifskewed, which direction is the distribution skewed for each variable? SKEWED LOR R? MEAN 58* 145 25 15 MEDIAN 59 145 MODE 57" 145 26 13 VARIABLES P OR S? IV: Height DV: Weight IV: Age DV: Years of education IV: Study (hours/night) DV: Test Scores IV: Practice (hours/week) DV: Yards rushing (per game) IV: TV watching (hours/night) 14 78% 10 95 15 14 104 100 DV: Obesity (measured in BMI) 15 26 14 26 12 25 IV: Age Continued)Explanation / Answer
Study at which level of measurement the variable has been measured. Spearman rank order correlation is used when the variables are measured at ordinal level of measurement, and Pearson correlation coefficinet is used when the variables are measured at ratio level of measurement. Height is measured at ratio level of measurement, therefore, use Pearson correlation coefficient. Now, for determining the direction of skewedness of the data, note that for left skewedness, mean<median; and for right skewedness, mean>median. For variablel height, mean<median, thus distribution is left skewed.
Weight-P-symmetric (mean=median)
Age-P-right
Years of education-P=right skewed.
Study hours-S-left skewed
Test score-P-R
Practice-S-L