import saspy
47 t检验
= saspy.SASsession(
sas ='HTML'
results )
说明: 以上代码在render时老是报ERROR: Expecting value: line 1 column 1 (char 0)
。
47.1 单样本t检验
%%SAS sas
;
data timeinput time @@;
;
datalines43 90 84 87 116 95 86 99 93 92
121 71 66 98 79 102 60 112 105 98
;
;
run
;
ods graphics on=80 plots(showh0) sides=u alpha=0.1; /*与给定值h0比较, alpha=0.05,则得到95%CI*/
proc ttest h0;
var time;
run; ods graphics off
h0在90%CI以外,也印证了差异的存在。
SIDES=2
(the default) specifies two-sided tests and confidence intervals for means.
SIDES=L
specifies lower one-sided tests, in which the alternative hypothesis indicates a mean less than the null value, and lower one-sided confidence intervals between minus infinity and the upper confidence limit.
SIDES=U
specifies upper one-sided tests, in which the alternative hypothesis indicates a mean greater than the null value, and upper one-sided confidence intervals between the lower confidence limit and infinity.
47.2 两独立样本t检验
If you want to compare values obtained from two different groups, and if the groups are independent of each other and the data are normally or lognormally distributed in each group, then a group test can be used.
%%SAS sas
;
data scoresinput Gender$ Score @@;
;
datalines75 f 76 f 80 f 77 f 80 f 77 f 73
f 82 m 80 m 85 m 85 m 78 m 87 m 82
m ;
;
run
;
ods graphics on=scores cochran ci=equal umpu;
proc ttest dataclass Gender;
;
var Score;
run; ods graphics off
The dollar sign ($) following Gender in the INPUT statement indicates that Gender is a character variable. The trailing at signs (@@) enable the procedure to read more than one observation per line.
For the mean differences, both pooled (assuming equal variances for males and females) and Satterthwaite (assuming unequal variances) 95% intervals are shown. The confidence limits for the standard deviations are of the equal-tailed variety.
The Method column denotes which test is being used for that row, and the Variances column indicates what assumption about variances is being made. The pooled test assumes that the two populations have equal variances and uses degrees of freedom , where and are the sample sizes for the two populations. The remaining two tests do not assume that the populations have equal variances. The Satterthwaite test uses the Satterthwaite approximation for degrees of freedom, while the Cochran test uses the Cochran and Cox approximation for the -value. All three tests result in highly significant -values, supporting the conclusion of a significant difference between males’ and females’ golf scores.
The “Equality of Variances” test in Figure 92.7 reveals insufficient evidence of unequal variances (the Folded F statistic F‘=1.53, with p value=0.6189).
47.3 配对t检验
%%SAS sas
;
data pressureinput SBPbefore SBPafter @@;
;
datalines120 128 124 131 130 131 118 127
140 132 128 125 140 141 135 137
126 118 130 132 126 129 127 135
;
;
run
;
ods graphics on
;
proc ttest*SBPafter;
paired SBPbefore;
run
; ods graphics off
The PAIRED
statement is used to test whether the mean change in systolic blood pressure is significantly different from zero.
The variables SBPbefore and SBPafter are the paired variables with a sample size of 12. The summary statistics of the difference are displayed (mean, standard deviation, and standard error) along with their confidence limits. The minimum and maximum differences are also displayed. The test is not significant , indicating that the stimuli did not significantly affect systolic blood pressure.
The agreement plot in Output 92.3.3 reveals that only three men have higher blood pressure before the stimulus than after.
But the differences for these men are relatively large, keeping the mean difference only slightly negative.
The profiles plot in Output 92.3.4 is a different view of the same information contained in Output 92.3.3, plotting the blood pressure from before to after the stimulus.
The Q-Q plot shows no obvious deviations from normality. You can check the assumption of normality more rigorously by using PROC UNIVARIATE with the NORMAL option.
sas.disconnect()