Suppose you devised a training program to raise student scores on a standardized test, such as ACT, or AIMS (like in Arizona). You first administer the test to a random sample of students, record their scores, administer the training to these students, and then administer the test a second time to each of the same students. For each student you record their score for the second test. (I am deliberately leaving out additional parameters, as you will see why in item b)

Escuse me? I do not SEE item b). Is this post perhaps unfinished?

Sra

To analyze the effectiveness of your training program, you can follow these steps:

a) Calculate the average score improvement:
1. Subtract each student's first test score from their second test score.
2. Sum up all the score improvements.
3. Divide the sum by the total number of students to get the average score improvement.

b) Assess the statistical significance of the score improvement:
To determine if the score improvement is statistically significant, you need to consider additional parameters such as the sample size and variance within the scores. These parameters are crucial for conducting hypothesis tests and drawing conclusions. Without them, it is challenging to make definitive statements about the training program's impact.

c) Evaluate individual student improvements:
Look at each student's improvement and note any patterns. Are there specific students who made significant gains while others didn't? Understanding these patterns can help identify areas where the training program was most effective or where adjustments might be needed.

d) Consider other factors:
Remember to take into account any external factors that might have influenced the score improvements. For example, if the second test was conducted after a longer time interval, it could be due to other learning processes rather than the training program itself.

e) Monitor long-term effects:
While comparing scores before and after the training is insightful, to truly assess the training program's effectiveness, it is essential to monitor student performance over time. Is there continuity in their improved scores, or do they regress back to their initial performance levels? Long-term monitoring can provide more accurate insights into the program's lasting effects.

Remember, this is just a general approach. Depending on your specific research requirements and resources, additional statistical techniques and analysis methods may be necessary for a more robust evaluation.