Question

Case Analysis - Wentworth Medical Center

As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York investigated the relationship between geographic location and depression. A sample of 60 individuals, all in reasonably good health, was selected; 20 individuals were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. Each of the individuals sampled was given a standardized test to measure depression. The data collected follow; higher test scores indicate higher levels of depression. These data are contained in the file Medical1.

A second part of the study considered the relationship between geographic location and depression for individuals 65 years of age or older who had a chronic health condition such as arthritis, hypertension, and/or heart ailment. A sample of 60 individuals with such conditions was identified. Again, 20 were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. The levels of depression recorded for this study follow. These data are contained in the file named Medical2.

Florida	New York	North Carolina
13	14	10
12	9	12
17	15	15
17	12	18
20	16	12
21	24	14
16	18	17
14	14	8
13	15	14
17	17	16
12	20	18
9	11	17
12	23	19
15	19	15
16	17	13
15	14	14
13	9	11
10	14	12
11	13	13
17	11	11

1. Use descriptive statistics to summarize data from medical 2.

(mean, standard error, median, mode, standard deviation, standard variation, kurtosis, skewness, range, minimum, maximum, sum, count)

Answer 1

The descriptive statistics are:

	Florida	New York	North Carolina
count	20	20	20
mean	14.50	15.25	13.95
sample standard deviation	3.17	4.13	2.95
sample variance	10.05	17.04	8.68
minimum	9	9	8
maximum	21	24	19
range	12	15	11
sum	290.00	305.00	279.00
sum of squares	4,396.00	4,975.00	4,057.00
deviation sum of squares (SSX)	191.00	323.75	164.95
standard error of the mean	0.71	0.92	0.66
skewness	0.28	0.53	-0.04
kurtosis	-0.34	-0.03	-0.59
coefficient of variation (CV)	21.87%	27.07%	21.12%
1st quartile	12.00	12.75	12.00
median	14.50	14.50	14.00
3rd quartile	17.00	17.25	16.25
interquartile range	5.00	4.50	4.25
mode	17.00	14.00	12.00