32. The purpose of a study by Nehlsen-Cannarella et al. (A-30) was to examine the relationship between moderate exercise training and changes in circulating numbers of immune system variables. Subjects were nonsmoking, premenopausal women who were divided into two groups (1 = exercise, 2 = nonexercise). Data were collected on three dependent variables: serum levels of the immunoglobulins IgG, IgA, and IgM. Determinations were made at three points in time: baseline (B), at the end of 6 weeks (M), and at the end of 15 weeks (E). The following data were obtained. (The authors analyzed the data with SPSS/PC + .)
Group BIGG MIGG EIGG 1 797.00 956.00 855.00 1 1030.00 1050.00 1020.00 1 981.00 1340.00 1300.00 1 775.00 1100.00 1060.00 1 823.00 1220.00 1140.00 1 1080.00 1120.00 1100.00 1 613.00 958.00 960.00 1 1020.00 1320.00 1200.00 1 956.00 1020.00 1020.00 1 1140.00 1580.00 1520.00 1 872.00 935.00 1000.00 1 1270.00 1290.00 1520.00 1 798.00 1050.00 1130.00 1 643.00 801.00 847.00 1 772.00 1110.00 1150.00 1 1480.00 1590.00 1470.00 1 1250.00 1720.00 1690.00 1 968.00 1150.00 1090.00 2 1470.00 1470.00 560.00 2 962.00 1260.00 1020.00 2 881.00 797.00 828.00 2 1040.00 1040.00 931.00 2 1160.00 1280.00 1300.00 2 1460.00 1440.00 1570.00 2 1010.00 974.00 1080.00 2 549.00 1030.00 1030.00 2 1610.00 1510.00 1560.00 2 1060.00 966.00 1020.00 2 1400.00 1320.00 1260.00 2 1330.00 1320.00 1240.00 2 874.00 1000.00 970.00 2 828.00 1140.00 1240.00 2 1210.00 1160.00 1080.00 2 1220.00 1150.00 1160.00 2 981.00 979.00 943.00 2 1140.00 1220.00 1550.00 Group BIGA MIGA EIGA 1 97.70 126.00 110.00 1 173.00 182.00 179.00 1 122.00 151.00 160.00 1 74.30 123.00 113.00 1 118.00 162.00 164.00 1 264.00 306.00 292.00 1 113.00 173.00 188.00 1 239.00 310.00 295.00 Group BIGA MIGA EIGA 1 231.00 258.00 245.00 1 219.00 320.00 320.00 1 137.00 177.00 183.00 1 94.30 99.10 134.00 1 94.70 143.00 142.00 1 102.00 135.00 146.00 1 127.00 192.00 195.00 1 434.00 472.00 480.00 1 187.00 236.00 255.00 1 80.80 98.50 89.70 2 262.00 290.00 249.00 2 142.00 201.00 160.00 2 113.00 107.00 112.00 2 176.00 194.00 181.00 2 154.00 147.00 144.00 2 286.00 300.00 308.00 2 138.00 148.00 160.00 2 73.40 164.00 166.00 2 123.00 127.00 122.00 2 218.00 198.00 198.00 2 220.00 245.00 220.00 2 210.00 219.00 190.00 2 207.00 237.00 239.00 2 124.00 189.00 204.00 2 194.00 184.00 178.00 2 344.00 356.00 335.00 2 117.00 125.00 135.00 2 259.00 307.00 296.00 Group BIGM MIGM EIGM 1 128.00 150.00 139.00 1 145.00 139.00 146.00 1 155.00 169.00 166.00 1 78.10 124.00 119.00 1 143.00 186.00 183.00 1 273.00 273.00 270.00 1 154.00 234.00 245.00 1 113.00 139.00 130.00 1 124.00 127.00 128.00 1 102.00 142.00 133.00 1 134.00 139.00 146.00 1 146.00 141.00 173.00 1 119.00 124.00 141.00 1 141.00 181.00 195.00 1 115.00 194.00 200.00 1 187.00 224.00 196.00 1 234.00 306.00 295.00 1 83.80 94.60 98.20 2 279.00 286.00 263.00 2 154.00 201.00 147.00 2 167.00 180.00 165.00 2 157.00 175.00 152.00 2 223.00 252.00 250.00 Group BIGM MIGM EIGM 2 189.00 199.00 166.00 2 103.00 117.00 110.00 2 104.00 173.00 150.00 2 185.00 190.00 157.00 2 101.00 81.10 91.50 2 156.00 153.00 140.00 2 217.00 187.00 152.00 2 190.00 202.00 223.00 2 110.00 176.00 188.00 2 123.00 123.00 113.00 2 179.00 189.00 170.00 2 115.00 114.00 113.00 2 297.00 297.00 308.00 SOURCE: David C. Nieman. Used with permission.

a. Perform a repeated measures analysis for each immunoglobulin/exercise group combination.

b. Analyze the data as a factorial experiment for each immunoglobulin in which the factors are exercise group (2 levels) and time period (3 levels). Let a = .05 for all tests.