The Test Statistic Essay Example for Free

The Test Statistic EssayBackground The decreasing make headway of students in standardized testings in math and science have been a cause for concern for most education reformers hence, intensive remediation had been designed for those who have been found to perform poorly at these tests. In order to test whether the intervention weapons platforms are effective, scores in the previous tests sooner the remediation was given will be compared to test scores after the remediation.Statement of the paradox Is there a significant difference in the test scores of students before and after the remediation program?Independent variable Remediation programDependent variable Test scores (before and after remediation)Hypothesis Null hypothesis There is no significant difference in the test scores of students before and after the remediation program. Alternative hypothesis There is a significant difference in the test scores of students before and after the remediation program.Effect size The effect size would indicate the magnitude of the difference of the scores, using Cohens (1988) conventional system, an effect size of .02 is small, .05 is moderate and .08 is large. The probability cling to would only tell us whether to reject of accept the null hypothesis but in no way tells us whether the difference is small or large.Statistics t = 5.192df = 214n = 216Effect size .05Report The answered research question is Is there a significant difference between the test scores of students in science and math before and after the remediation program? The hypothesis tested is as followsHo p = 0Ha p 0 The result of the t-test on student scores in the science and math test (t=5.192 at .05) which is larger than the t-critical apprize (p 4.33), with a sample size of 216 and a degrees of freedom of 214. Therefore the null hypothesis is rejected and the alternative hypothesis is accepted, thus, the remediation programs have indeed statistically increased the test scores of the students in science and math.The effect size is at .05 which is moderate (Cohen, 1988), this would indicate that the difference in the before and after test scores is moderate in value and hence is not really that large as expected. This would mean that the present remediation program has done its work but much is desired before it could be said that it has really reached its objective.ReferencesCohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences. reinvigorated York AcademicPress.Cohen, B. (2001). Explaining Psychological Statistics. New York Wiley.Moore, D.S. (2000). The Basic Practice of Statistics 2nd ed. New York W.H. Freeman.