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Table 1: CCI .17 Mach 2 Rimfire Velocity Data Independent Group Analysis C:\Program Files\TexaSoft\WINKS SDA 6\CCI .17 Mach 2 Rimfire Velocity Data.SDA


Grouping variable is SUPPRESSOR Analysis variable is VELOCITY


Group Means and Standard Deviations HMR: mean = 2011.173 s.d. = 41.8551 n = 75 NONE: mean = 1993.32 s.d. = 57.095 n = 75


Mean Difference = 17.85333 S.E. Difference = 8.17451 Test for Equality of Variance


This preliminary test determines which version of the t-test to perform. Test equality of variance: F = 1.86 with (74, 74) D.F. p = 0.004 (two-tail)


Note: Since the p-value for equality of variance is low, (less than 0.05) use the Unequal variance t-test results.


Independent Group t-test Hypotheses Ho: There is no difference between means. Ha: The means are different.


Independent Group t-test on VELOCITY


Equal variance: Calculated t= 2.18 with 148 D.F. p = 0.031 (two-tail) Unequal variance: Calculated t= 2.18 with 135.7 D.F. p = 0.031 (two-tail)


(For a one-sided test, you must adjust the p-value according to the direction of your alternative hypothesis.) Confidence Interval


A 95% Confidence Interval about the mean difference is: (1.692 to 34.0147) CI is based on a standard error of 8.1745 and a tabled t-value of 1.977 with 148 d.f.


Effect Size Measures


Cohen's d = 0.359, a medium effect size. (Ref: Rosenthal and Rosnow, 1991) Hedge's g = 0.357 (an adjustment of Cohen's d for sample sizes <10.)


Possible Writeup A preliminary test for equality of variance indicates that the variances of the two groups are significantly different. Therefore a two- sample t-test was performed that does not assume equal variances.


The means of the two groups were significantly different. Using the unequal variances t-test, t(135.7) = 2.18, p = 0.031 Statistics were performed using WINKS SDA Software (Texasoft, Cedar Hill, TX.) Statistical decisions were made at p=0.05 unless otherwise stated.


For these data, the Mean(SD) of VELOCITY for SUPPRESSOR = HMR is 2011.173(41.8551), N= 75, and the Mean(SD) of VELOCITY for SUPPRESSOR = NONE is 1993.32(57.0950), N= 75.


(Results must be interpreted in the context of the practical {i.e. clinical} implications of any observed differences.) Page 168


July — September 2011


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