In: Statistics and Probability
Data 2019
A study was conducted to test the impact of a reading intervention on kindergarten children’s acquisition of beginning reading skills. In order to gauge progress, a number of measures were used, including measures of the acquisition of sound equivalents of letters, letter names, concept of number, sight words, reading comprehension, etc. Letter naming has been found to be an effective proxy for overall development.
In this study, you are asked to analyze the results of the upper and lower case (52) letter naming assessment.
60 subjects were randomly assigned to two groups, an experimental group and a “waiting group” control. All subjects were assessed three times, prior to treatment (Oct. 15), after ten weeks, and after 20 weeks. The experimental group was enrolled in the intensive reading program for the first ten weeks, and then received no treatment for the next ten weeks. The “waiting group”, received no treatment for the first ten weeks, and then was enrolled in the intensive reading group for the next ten weeks. Three data points were thus gained.
The appropriate statistic to use in this example is a repeated measure (dependent sample) analysis of variance. However, neither the student version of SPSS, nor Excel, has a sufficiently sophisticated statistic to do a complete analysis. So for your project, find the means and standard deviations for the pre, mid, and post measures for each of the groups (a total of 6). If you had a repeated measure capability, you would then complete a post hoc analysis, probably using Tukey’s statistic. Since you don’t, I am asking you to draw what logical conclusions you can by simply looking at the means and noting differences, and then, accounting for history, development and other external and internal threats to validity, draw tentative conclusions.
Group 1
Subject |
Pre |
Mid |
Post |
1 |
4 |
12 |
10 |
2 |
15 |
34 |
52 |
3 |
8 |
35 |
44 |
4 |
2 |
26 |
44 |
5 |
10 |
44 |
39 |
6 |
12 |
44 |
45 |
7 |
12 |
26 |
35 |
8 |
2 |
10 |
5 |
9 |
6 |
22 |
27 |
10 |
29 |
52 |
52 |
11 |
3 |
18 |
26 |
12 |
5 |
26 |
33 |
13 |
0 |
12 |
6 |
14 |
6 |
16 |
29 |
15 |
3 |
21 |
29 |
16 |
18 |
39 |
44 |