5Means

is a one-sided upper condence limit for μ. Thus, from the example, the

upper 95 percent condence limit for μ is

Xt

S

n

99.9 1.729

3.4

20

101.2

1

+=

−β

.

Computational considerations:

Example: n = 25, β = 0.05, μ

0

= 10.00

• SAS code

libname stuff 'H:\Personal Data\Equivalence & Noninferiority\

Programs & Output';

data calc;

set stuff.d20121029_test_2_1_example_data;

run;

proc means data = calc;

var X mu0 beta;

output out = onemean MEAN = xbar popmu betaprob STD = sd N =

n1;

run;

data outcalc;

set onemean;

se = sd/sqrt(n1);

lowlim = xbar + tinv(1-betaprob,n1-1)*se;

run;

proc print data = outcalc;/* has vars xbar popmu betaprob n1

se lowlim */

run;

The SAS System 07:03 Sunday, October 28, 2012 13

Obs _TYPE_ _FREQ_ xbar popmu betaprob sd n1 se lowlim

1 0 25 9.68 10.00 0.05 1.00 25 0.20092 10.0266

• JMP Data Table and formulas (Figure2.2):