表 13—9t 值表
n ′ t0.05 |
t0.01 |
n ′ t0.05 |
t0.01 |
n ′ t0.05 |
t0.01 |
---|---|---|---|---|---|
1 12.706 |
63.657 |
17 2.110 |
2.898 |
45 2.014 |
2.690 |
2 4.303 |
9.925 |
18 2.101 |
2.878 |
50 2.008 |
2.678 |
3 3.182 |
5.841 |
19 2.093 |
2.861 |
60 2.000 |
2.660 |
4 2.776 |
4.604 |
20 2.086 |
2.845 |
70 1.994 |
2.648 |
5 2.571 |
4.032 |
21 2.080 |
2.831 |
80 1.990 |
2.638 |
6 2.447 |
3.707 |
22 2.074 |
2.819 |
90 1.987 |
2.632 |
7 2.365 |
3.499 |
23 2.069 |
2.807 |
100 1.984 |
2.626 |
8 2.306 |
3.355 |
24 2.064 |
2.797 |
125 1.979 |
2.616 |
9 2.262 |
3.250 |
25 2.060 |
2.787 |
150 1.976 |
2.609 |
10 2.228 |
3.169 |
26 2.056 |
2.779 |
200 1.972 |
2.601 |
11 2.201 |
3.106 |
27 2.052 |
2.771 |
300 1.968 |
2.592 |
12 2.179 |
3.055 |
28 2.048 |
2.763 |
400 1.966 |
2.588 |
13 2.160 |
3.012 |
29 2.045 |
2.756 |
500 1.965 |
2.586 |
14 2.145 |
2.977 |
30 2.042 |
2.750 |
1000 1.962 |
2.581 |
15 2.131 |
2.947 |
35 2.030 |
2.724 |
∞ 1.960 |
2.576 |
16 2.120 |
2.921 |
40 2.021 |
2.704 |
【例 1】、【例 4】和【例 5】是一致的。但由于正文中计算的数字经过了舍入或缩减,可能与计算机输出的结果略有差别。以下说明计算机程序中各函数的含意。
x=∑x(各变量的总和) Y=∑x2(各变量值的平方和) M(I) = x( 均 数 ) S(I)=S(标准差)
E(I) = Sx(标准误)
C = S2(合并标准差的平方)
B = Sx1-x 2 (两均数相差的标准误)
计算机程序: 2 A=0:I=1
5 PRINT
-
PRINT“IF YOU WANT TO GET MEAN,STANDARD DEVIATION AN DSTA NDARD ERROR,PLEASE INPUT1.”
-
PRINT
-
PRINT“IF YOU WANT TO GETTHE T-TEST FOR MEAN BETWEEN POPULATION AND SAMPLE,PLEASE I NPUT 2”
-
PRINT
-
PRINT“IF YOU WANT TO GET THE T-TEST FOR MEAN OF PAIRED DATA, PLEASE INPUT 3”
-
PRINT
-
PRINT“IF YOU WANT TO GET THE T—TEST FOR MEAN OF GROUPED DATA,
PLEASE INPUT 4”
-
PRINT
20 INPUT“INPUT NUMBER”;E
30 IF E>4 THEN PRINT“INPUT NUMBER ERROR,PLEASE REENTER.”: GOTO 17
35 PRINT
40 ON E GOTO 45,50,100,200
45 A=1:GOTO 60
50 INPUT“U=”;U
60 PRINT“ENTER NUMBER OF OBSERV ATIONS”;
65 INPUT N
70 IF N>10 THEN DIM Y(1,N)
-
GOSUB 500
-
IF A=1 THEN 900
-
T=ABS(M(I)-U)/E(I)
78 GOTO 900
100 |
PRINT“ENTER NUMBER OF PAIRS”; |
---|---|
107 |
INPUT N |
110 |
IF N>10 THEN DIM Y(Z,N) |
115 |
GOSUB 300 |
120 |
GOSUB 550 |
125 |
T=ABS(M(I))/E(I) |
130 |
GOTO 900 |
200 |
FOR I=1 TO 2 |
201 |
PRINT“ENTER NUMBER OF OBSER VATIONS” |
202 |
PRINT“FOR GROUP#”;I; |
203 |
INPUT N(I) |
204 |
NEXT I |
205 |
IF N(I)>N(2)ANDN(1)>10THENDIMY(2,N(1)) |
210 |
IF N(2)>10 THEN DIM Y(2,N(2)) |
215 |
|
220 |
FOR I=1 TO 2 |
225 |
N=N(I) |
227 |
PRINT“GROUP#”;I |
230 |
GOSUB 500 |
232 |
PRINT235 G(I)=Y-X*X/N(I) |
240 |
NEXT |
245 |
C=(G(1)+G(2))/(N(1)+N(2)-2) |
250 |
B=SQR(C*((N(1)+N(2))/(N(1)*N(2)))) |
255 |
T=ABS(M(1)-M(2))/B |
260 |
FORI=1TO2 |
265 |
PRINT“GROUP#”;I;“MEAN=”;M(1) |
270 |
PRINT“GROUP#”;I;“STANDARDDEVIATION=”;S(I) |
275 |
PRINT“GROUP#”;I;“STANDARDERROR=”;E(I) |
280 |
NEXTI |
290 |
GOTO1000 |
300 |
FORJ=1TON |
---|---|
335 |
PRINT“ENTERX,YPAIR#”;J;“”; |
340 |
INPUTY(1,J),Y(2,J) |
360 |
X=X+(Y(l,J)-Y(2,J)) |
370 |
Y=Y+(Y(1,J)-Y(2,J))*(Y(1,J)-Y(2,J)) |
380 |
NEXTJ |
390 |
RETURN |
500 |
X=0:Y=0 |
505 |
FORJ=1TON |
508 |
PRINT“ENTEROBSERVATION#”;J;“”; |
510 |
INPUTY(I,J) |
520 |
X=X+Y(I,J) |
530 |
Y=Y+Y(I,J)*Y(I,J) |
540 |
NEXTJ |
550 |
M(I)=X/N |
560 |
S(I)=SQR((Y-X*X/N)/(N-1)) |
570 |
E(I)=S(I)/SQR(N) |
580 |
RETURN |
900 |
|
910 |
PRINT“MEAN=”;M(I) |
920 |
PRINT“STANDARDDEVIATION=”;S(I) |
930 |
PRINT“STANDARDERROR=”;E(I) |
940 |
IFA=1THEN1010 |
1000 PRINT“T=”;T
1010 END