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

  1. PRINT“IF YOU WANT TO GET MEAN,STANDARD DEVIATION AN DSTA NDARD ERROR,PLEASE INPUT1.”

  2. PRINT

  3. PRINT“IF YOU WANT TO GETTHE T-TEST FOR MEAN BETWEEN POPULATION AND SAMPLE,PLEASE I NPUT 2”

  4. PRINT

  5. PRINT“IF YOU WANT TO GET THE T-TEST FOR MEAN OF PAIRED DATA, PLEASE INPUT 3”

  6. PRINT

  7. PRINT“IF YOU WANT TO GET THE T—TEST FOR MEAN OF GROUPED DATA,

    PLEASE INPUT 4”

  8. 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)

  1. GOSUB 500

  2. IF A=1 THEN 900

  3. 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

PRINT

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

PRINT

910

PRINT“MEAN=”;M(I)

920

PRINT“STANDARDDEVIATION=”;S(I)

930

PRINT“STANDARDERROR=”;E(I)

940

IFA=1THEN1010

1000 PRINT“T=”;T

1010 END