sex3. 1. 1. 1. 1. 2. 0. 1. 0. 3. 1. 1. 0. 4. 0. 1. 1. 5. 1. 0. 0. 6. 0. 0. 1. 7. 1. 0. 1. 8. 0. 0.
0 . runtest sex1. N(sex1 .5) = 4 obs = 8. N(runs) = 8 z = 2.29.
Nonparametric Statistics . ! "# # "$%&' &# ( ) *& + *,-) . "/ %0 - $( Web: http://home.kku.ac.th/nikom Email:
[email protected]
: - !" #$ #$ % & -'( )% & *"* ) + +* ) -Interval/Ratio Scale % & Normal
1
- !" # $ (truly nonparametric procedures) % * +'$ % %= A0?/ @(0?->C#>%= A0?/ @ G% @ )
Z=
T −n(n+1) / 4 n( n +1)(2n +1) / 24
8
T −n( n+1) / 4
Z=
n( n +1)(2n +1) ∑ t 3 − ∑ t − 48 24
sysbp ! 40 $% bmi 20-25 +,,-. 120 mmHg 23 4 xi
yi
di
rank
T-
T+
136
120
-16
6
6
-
151
120
-31
8
8
-
131
120
-11
2
2
-
130
120
-10
1
1
-
133
120
-13
3
3
-
159
120
-39
9
9
-
165
120
-45
10
10
-
135
120
-15
4.5
4.5
-
135
120
-15
4.5
4.5
-
140
120
-20
7
7
-
9
xi
yi
di
rank
T-
T+
136
120
-16
6
6
-
151
120
-31
8
8
-
131
120
-11
2
2
-
130
120
-10
1
1
-
133
120
-13
3
3
-
159
120
-39
9
9
-
165
120
-45
10
10
-
135
120
-15
4.5
4.5
-
135
120
-15
4.5
4.5
-
140
120
-20
7
7
-
T- = 55, T+ = 0 T=minimum(55, 0) = 0
Z=
Z=
T −n( n+1) / 4 n( n +1)(2n +1) ∑ t 3 − ∑ t − 48 24 0−10(10+1) / 4
10(10+1)(2(10) +1) ∑ 23 − ∑ 2 − 48 24
= 2.80
10
: ; [+% % & 2 E + % S* ) '+# " E ( M ' S* ) (Rank) % & +) $" # +
Mann-Whitney Test
n (n + 1) 1 1 n n + −T 2 1 2 1 u = min n (n + 1) 2 2 n n + −T 1 2 2 2
n1 = aK$050-D5)B3$7C)743$(D71#-&@A+@aK$0500N)B n2 = aK$050-D5)B3$7C)743$(D71#-&@A+@aK$050+$# T1 = O:%5+:K$'D*&@AM0#:,3+ n1 T2 = O:%5+:K$'D*&@AM0#:,3+ n2
11
@
u = T1 −
n(n + 1) 2
;B A B !@C
nn U2 z= n n (n + n + 1)/12 1
1
2
1
2
2
cholesterol ! "# $ %&!'( %8'D* cholesterol %8953$71EF2$B 1EF9G.7 1EF2$B 1EF9G.7 200 220 230 225 255 240
12
(manual) 1. AF ?G B 2. !@=H A %&?( (>2$4+' FEV1 *+#+,# (#' D#&?(2$='E ? :;#2$GH ) 10 ) % FEV1 2 $ K, ) "+$)G&$$LMN '% *.M2 ,G#+$)G$ K,*$# 6 %='
idno 1 2 3 4 5 6 7 8 9 10
fev1 83 76 80 76 75 78 77 85 80 77
fev1p 80 76 77 74 73 70 72 79 75 71
(manual) 1. AF ?G B 2. @ K=
