Statistics 845.3 –Assignment 6

I  In the following study the researcher was interested in how scholastic performance was affected by:

1: the presence of a tutor, and

2: the use of a course text.

Throughout the period under study each student was given three tests. The students were divided into four groups.

Group 1: No tutor, No text

Group 2: No tutor, text

Group 3: Tutor, No text

Group 4: Tutor, text

The Data were tabulated below:

No tutor, No text No tutor, text

Subject / 1 / 2 / 3 / 4 / 5 / 1 / 2 / 3 / 4 / 5
Test 1 / 38.72 / 34.96 / 37.46 / 37.85 / 37.49 / 52.36 / 49.84 / 47.68 / 49.64 / 48.22
Test 2 / 59.78 / 61.79 / 67.05 / 65.12 / 55.81 / 76.75 / 74.60 / 73.78 / 73.67 / 72.82
Test 3 / 64.21 / 66.12 / 67.19 / 65.93 / 63.45 / 83.95 / 79.95 / 84.64 / 82.60 / 79.28

Tutor -No text tutor, text

Subject / 1 / 2 / 3 / 4 / 5 / 1 / 2 / 3 / 4 / 5
Test 1 / 58.03 / 59.89 / 58.74 / 60.50 / 55.75 / 72.29 / 76.01 / 67.38 / 74.90 / 70.18
Test 2 / 82.07 / 85.30 / 84.57 / 82.40 / 82.73 / 95.84 / 95.30 / 98.36 / 100.98 / 95.70
Test 3 / 85.02 / 88.91 / 85.49 / 91.28 / 87.04 / 97.06 / 103.76 / 101.87 / 101.11 / 98.86

Analyze the data.

II  A composite measure of screen quality was made on screens using four lacquer concentrations, four standing times, four acryloid concentrations (A, B, C, D), and four acetone concentrations (a, b, G, D). A Greaco-Latin square design with the data recorded as follows:

Lacquer Concentration

1/2 / 1 / 1 1/2 / 2
30 / C / b / 16 / B / G / 12 / D / D / 17 / A / a / 11
Standing / 20 / B / a / 15 / C / D / 14 / A / G / 15 / D / b / 14
Time / 10 / A / D / 12 / D / a / 6 / B / b / 14 / C / G / 13
5 / D / G / 9 / A / b / 9 / C / a / 8 / B / D / 9

Analyze this data.

III. In a psychiatric study of families of schizophrenic children two Rorshach scores of the mothers (M1 and M2) and fathers ( F1, F2 ) were of particular import. The observed values of these scores for parents of n1=10 psychotic adolescents and n2=10 normal control children of similar age and economic status are given below:

Schizophrenic Families (n1=10) / Control Families
(n2=10)
M1 / M2 / F1 / F2 / M1 / M2 / F1 / F2
30 / 35 / 25 / 33 / 20 / 15 / 26 / 25
21 / 41 / 15 / 21 / 11 / 3 / 18 / 19
27 / 32 / 25 / 34 / 7 / 2 / 11 / 8
35 / 34 / 31 / 36 / 21 / 15 / 24 / 22
20 / 37 / 14 / 21 / 15 / 11 / 17 / 13
23 / 38 / 19 / 25 / 13 / 12 / 20 / 15
28 / 27 / 26 / 30 / 22 / 13 / 22 / 19
32 / 42 / 29 / 37 / 5 / 3 / 9 / 12
26 / 36 / 27 / 33 / 21 / 13 / 20 / 19
29 / 35 / 24 / 32 / 14 / 12 / 10 / 8

Analyze this data.