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RUKHIN 2 TESTName:
with p1 and p2 denoting the two binomial proportions.
with pi xi, and ni denoting the binomial proportion, the number of successes and the number of trials for the i-th binomial proportion. The computed test statistic is
and the associated standard error is
The p-value for a lower tailed test is
The p-value for an upper tailed test is
The p-value for a two tailed test is
The confidence interval is
<p1> <n1> <p2> <n2> <alpha> <SUBSET/EXCEPT/FOR qualification> where <p1> is constant, parameter, or variable that contains the proportion of successes for the first sample; <n1> is constant, parameter, or variable that contains the number of trials for the first sample; <p2> is constant, parameter, or variable that contains the proportion of successes for the second sample; <n2> is constant, parameter, or variable that contains the number of trials for the second sample; <alpha> is constant or parameter that contains the significance level; <pval> contains the returned p-value; <lowlim> contains the computed lower confidence limit; <upplim> contains the computed upper confidence limit; and where the <SUBSET/EXCEPT/FOR qualification> is optional. This syntax performs a two-tailed hypothesis test. The <p1> <n1>, <p2>, and <n2> arguments can be either parameters or variables. If they are variables, then the variables must have the same number of elements. The <alpha> argument is always assumed to be either a constant or a parameter. If the arguments are all parameters, then <pval>, <lowlim>, and <upplim> will be parameters. Otherwise, they will be variables.
<p1> <n1> <p2> <n2> <alpha> <SUBSET/EXCEPT/FOR qualification> where <p1> is constant, parameter, or variable that contains the proportion of successes for the first sample; <n1> is constant, parameter, or variable that contains the number of trials for the first sample; <p2> is constant, parameter, or variable that contains the proportion of successes for the second sample; <n2> is constant, parameter, or variable that contains the number of trials for the second sample; <alpha> is constant or parameter that contains the significance level; <pval> contains the returned p-value; <lowlim> contains the computed lower confidence limit; <upplim> contains the computed upper confidence limit; and where the <SUBSET/EXCEPT/FOR qualification> is optional. This syntax performs a lower-tailed hypothesis test. However, the confidence limits correspond to the two-tailed test. The <p1> <n1>, <p2>, and <n2> arguments can be either parameters or variables. If they are variables, then the variables must have the same number of elements. The <alpha> argument is always assumed to be either a constant or a parameter. If the arguments are all parameters, then <pval>, <lowlim>, and <upplim> will be parameters. Otherwise, they will be variables.
<p1> <n1> <p2> <n2> <alpha> <SUBSET/EXCEPT/FOR qualification> where <p1> is constant, parameter, or variable that contains the proportion of successes for the first sample; <n1> is constant, parameter, or variable that contains the number of trials for the first sample; <p2> is constant, parameter, or variable that contains the proportion of successes for the second sample; <n2> is constant, parameter, or variable that contains the number of trials for the second sample; <alpha> is constant or parameter that contains the significance level; <pval> contains the returned p-value; <lowlim> contains the computed lower confidence limit; <upplim> contains the computed upper confidence limit; and where the <SUBSET/EXCEPT/FOR qualification> is optional. This syntax performs an upper-tailed hypothesis test. However, the confidence limits correspond to the two-tailed test. The <p1> <n1>, <p2>, and <n2> arguments can be either parameters or variables. If they are variables, then the variables must have the same number of elements. The <alpha> argument is always assumed to be either a constant or a parameter. If the arguments are all parameters, then <pval>, <lowlim>, and <upplim> will be parameters. Otherwise, they will be variables.
LET PVAL AL AU = RUKHIN 2 LOWER TAILED TEST ... P1 N1 P2 N2 ALPHA LET PVAL AL AU = RUKHIN 2 UPPER TAILED TEST ... P1 N1 P2 N2 ALPHA
LET P1 = 0.9 LET N2 = 40 LET P2 = 0.6 LET N2 = 40 LET ALPHA = 0.90 . LET PVAL AL AU = RUKHIN 2 TEST P1 N1 P2 N2 ALPHAThe returned values for PVAL, AL, and AU are 0.0000, 0.4993, and 0.7007, respectively.
Date created: 10/5/2010 |