CriticalValues of F

N1
1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

1
161
4,052

18.51
98.49

10.13
34.12

7.71
21.20

6.61
16.26

5.99
13.74

5.59
12.25

5.32
11.26

5.12
10.56

4.96
10.04

4.84
9.65

4.75
9.33

4.67
9.07

4.60
8.86

4.54

Critical Values ofT

df

.20

.10

.05

1
2
3
4
5

6
7
8
9
10

11
12
13
14
15

6.314
2.920
2.353
2.132
2.015

1.943
1.895
1.860
1.833
1.812

1.796
1.782
1.771
1.761
1.753

3.078
1.886
1.638
1.533
1.476

1.440
1.415
1.397
1.383
1.372

1.363
1.356
1.350
1.345
1.341

12.706
4.303
3.182
2.776
2.571

2.447
2.365
2.306
2.262
2.228

2.201
2.179
2.160
2.145
2.131

-ratio

=

N Sx

2

S
1

2

+S32
3

+S3

2?

?
?
?

?

?

ratio

=

S? ? Parent Population " b"? ?

2

S? ? Parent Population " w"? ?

2

=

N

Sx

RMS (Si)
?
?

?

?
?

?
?
?

2

ParentPopulation "w"

=SWithin

=RMS(S1, S2, S3)

Parent Population " b"

=

N

SBetween

=

N

Sx

(M)

dfnum= No.ofsubgroups –1 = dfb
dfdenom= Total observations –No. ofsubgroups = df

:P1

=P
2

:P1

≠P
2

=

P
1

-P
2

P
T(1

- PT)(1
N1

+

1

N)
2

(Use Z table foralpha risk)

P
1

=Proportion bad in group 1

P
2

=Proportion bad in group 2

P
T

=Proportion bad overall :

Total bad

Total tested

N1

=Total tested in group 1

N2

=Total tested in group 2

Requirement :Total bad

≥5, total good

≥