The Test Statistic Essay Example for Free

The Test Statistic EssayBackground The decreasing hemorrhoid of students in standardized tests in math and science have been a cause for concern for most education reformers hence, intensive remediation had been knowing for those who have been found to perform poorly at these tests. In order to test whether the intervention programs are prepareive, rafts in the previous tests before the remediation was given will be compared to test rafts after the remediation.Statement of the problem Is there a significant deflection in the test scores of students before and after the remediation program?Independent variable quantity Remediation programDependent variable Test scores (before and after remediation)Hypothesis Null surmisal There is no significant difference in the test scores of students before and after the remediation program. Alternative scheme There is a significant difference in the test scores of students before and after the remediation program.Effect sizing The ef fect 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 value would only tell us whether to reject of accept the null possibility 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 betwixt 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 value (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 i n 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 leave remediation program has done its work but much is desired before it could be give tongue to that it has really reached its objective.ReferencesCohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences. New 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.