T-TEST<\/p>\n
Name<\/p>\n
Institution<\/p>\n
Date<\/p>\n
T-test Example<\/p>\n
Rosenthal and Jacobson (1968) informed classroom teachers that some of their students showed<\/p>\n
unusual potential for intellectual gains. Eight months later the students identified to teachers as<\/p>\n
having potentional for unusual intellectual gains showed significiantly greater gains performance<\/p>\n
on a test said to measure IQ than did children who were not so identified. Below are the data for<\/p>\n
the students in the first grade:<\/p>\n
Table 1: Scores for First Graders<\/p>\n
Experimental Comparison<\/p>\n
35 2<\/p>\n
40 27<\/p>\n
12 38<\/p>\n
15 31<\/p>\n
21 1<\/p>\n
14 19<\/p>\n
46 1<\/p>\n
10 34<\/p>\n
28 3<\/p>\n
48 1<\/p>\n
16 2<\/p>\n
30 3<\/p>\n
32 2<\/p>\n
48 1<\/p>\n
31 2<\/p>\n
22 1<\/p>\n
12 3<\/p>\n
39 29<\/p>\n
19 37<\/p>\n
25 2<\/p>\n
Mean=27.15 Mean=11.95<\/p>\n
SD = 12.51 14.62<\/p>\n
From the table derived above, the mean of of experiment is X = 27.15 and the comparison mean X = 11.95, the corresponding standard deviations are 12.51 and 14.62<\/p>\n
The procedure of this work is derived from the pdf attached to show how t-test is applied in statistical research.<\/p>\n
Formula for T-test for indepentdent groups <\/p>\n
t = X1-X2<\/p>\n
var1 – var2<\/p>\n
n n Substituting our values t = 27.15 \u2013 11.95 <\/p>\n
12.52 – 14.62<\/p>\n
20 20 <\/p>\n
t = 3.54 this is the computed t value<\/p>\n
the computed t value is 3.54. With degrees of freedom that equals to total group size (40)<\/p>\n
substract 2, to get 38. Entering a t table with 38 degrees of freedom, for alpha = .05 the<\/p>\n
tabulated value is 2.03 and for alpha = .01, the tabled value is 2.72.<\/p>\n
In this case, 1% is the limit of expected error and 2.72 is the tabulated t value.<\/p>\n
The computed value is bigger than the tabulated value at alpha = .01, hence we reject the null hypothesis and do not reject the alternative hypothesisthis shows , that the difference in gain scores is likely the result to the experimental treatment and not as a result of chance variation.<\/p>\n
Link to the pdf. <\/p>\n
https:\/\/www.google.co.ke\/search?q=t-test+example&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a<\/p>\n
Reference<\/p>\n
Jackson, S. L. (2012). Research methods and statistics: A critical thinking approach. Belmont, CA: Wadsworth Cengage Learning.<\/p>\n","protected":false},"excerpt":{"rendered":"
T-TEST Name Institution Date T-test Example Rosenthal and Jacobson (1968) informed classroom teachers that some of their students showed unusual<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-47396","post","type-post","status-publish","format-standard","hentry"],"yoast_head":"\n