20.10.2011 Statistics If p < 0,05 then we reject null hypothesis If p > 0,05 then we not reject null hypothesis If p = 0,05 then you can choose t-test Null hypothesis: samples are equal (are the same) T-test for Dependent Samples (Desetiboj) Marked differences are significant at p < ,05000 Mean Std.Dv. N t df p points 100 m 871,7179 53,0997 points long jump 803,3333 246,5539 39 1,880152 38 0,067769 Because p (0,06)>0,05, we not reject null hypothesis, which is telling that samples are equal. It means that from “100m” has obtained same points. Difference is not statistically significant. From statistical point of view, 871 points from “100 m” is equal 803 point from “long jump”. This difference is not statistically significant. At the 5% level of statistical significance Mean Std.Dv. N t df p points 100 m 871,7179 53,0997 points 400 m 725,7949 287,4990 39 3,323692 38 0,001974 Because p (0,00)<0,05, we reject null hypothesis, which is telling that samples are equal. It means that from “100m” athletes have obtained different (more) points than from “400 m”. Difference is statistically significant. Graph is used to confuse the reader. There are three lies. Terrible, ugly and statistics. Do not believe the charts, believe numbers. Correlation points 100 m points long jump points 100 m 1,0000 ,4589 p= --- p=,003 points long jump ,4589 1,0000 p=,003 p= --- Because p (0,003)<0,05, we reject null hypothesis, which is telling that correlation coefficient is ZERO. It means that correlation is not ZERO, and is 0,4589. Correlation is statistically significant. This relationship is direct. points 100 m points high jump points 100 m 1,0000 ,2792 p= --- p=,085 points high jump ,2792 1,0000 p=,085 p= --- Because p (0,085)>0,05, we don´t reject null hypothesis, which is telling that correlation coefficient is ZERO. It means that correlation coefficient is ZERO. Correlation is statistically significant.