-
330
Tabel 3: Distribusi Normal Baku
Surnber: Freund, J.E.Engleuood Cliffs, Nerv
dan R. E. Walpole, 1987. L':lathematical StatisticsJersey: Prentice Hall Inc.
.00 .01 .o2 .03 .04 .05 .06 'o7 '08 'G),
0.0 Io.l I0.2 Io.3 I0.{ Io.5 I
I
I0.6 Io.?0.8o.91.0
l.l1.21.3l.{1.5
1.6t.7
I l.EI r.9
1,,I z-zI 2.3I z.t
| ''uI ,..12.7I z.eI z.eI s.o
I
,0000 .0040 .0080 .0120 .0160 .olge '9?q9 '0275 '0310 '0359 I,og98 .0438 .clt7l .osii .055? .0596 '0636 '0675 '0714 'ozss I,0293 .0832 .082r .osio .oole .0987 '1026 '1064 '1103 'ttlt I,rrz9 .1217.l2ss.rzsi -iiai.1368.l19g '1443 '1480 'l5!7:iil :i;ei .ioza .tool '.tzoo .u36 '1772 '1808 '1844 '187e:ili; :ido .is8s . .zors .2054 .2088 .2t23 '2157 '2ltn '222+
.?257 .2,f,l .2324 .2357 .2389 .2422 ,2451 .24ffi '2117 ',zilg'.;;s; '.r61i '.rtyri .zois .ztoE .2734 .2764 '27e1 'fr23 '2e5,2:t88i .isro .293e .2967 .2995 .3023 .3051 '3078 '3106 '3133Sise .iiao 32tz .32i8 .3264 .328e .3315 '3340 '3365 '338e.g{ri .aa3s .g461 .g485 .3508 .3531 .3554 '3577 '3599 '3621
.3643 .3665 .3686 .3?08 .g72g '3749 .3770 '3790 '3810 '3830:a849 .ie6s .8888 .3so7 .3925 .3944 .3962 '3s80 '39e7 '408:4ogt .lons .4oG6 .4082 .4099 .4Il5 .4131'4t47'4162'4177'.itsz
.4207 .42n .lzio .425r .4265 .4279 '4292 '4306 '4319.lsiz .434s .4gs7 .4370 .{382 .{394 .4406 "t418 '4429 '444r
.4452 .4463 .4474 .4484 .4495 .4505 '4515 '4525 '4535 :45{5
.lSSl .'l5O{ .4573 .4582 .r5gl '4599 '{608 '4616 ;4625 '4633:;Mi .4649 .{G5o .res .4671 .46?8 .{686 '4693 '4699 '{7ry:itii .4?19 .472G .47s2 .{738 .4741 -47w '4756 '4761 '4767.itzz .47?E .4ztxt .{?8{t .4793 .4?98 .{803 '4808 '4812 '4817
.a82r .4826 .48t0 .r${ .483E .4842 .1846 '4850 '{85't '{857:i86i :i8o{ .rsos .{sti .4875 .{8?E .488! '{884 '4887 'rsso:;Eei :iieo .18e8 .lsgr .4eo'l .4e06 .{eoo '{ell '{elg '4e16:;eii :ie20 .tw .rEIs .4s27 .4s?p .1e3! '{e32 '"le8t '{e:}6:iei8 :{a{o .le{t .ls{i .ls{s .4e40 .4e{8 '49{e ''esl '4e52
.{e53 .1e55 .{e56 .{e57 .4e59 .{e6O .r99! '{e62 'lt'! '!t1:ir& :4eoo .tsot .ls6i .4e6e .{e?0 .1e7! '4s72 '4e73 '1e71:ieti .lsis .49?o .tgti .4s77 .4978 .4979 '4e79 '4980 're6r
.lsei .lsai .4s82 .loas .4984 .{98'l .4985 '4985 '{986 '1e86
.ls8z /498? .4987 .ls8E .498{t .4989 .4989 '4989 '4990 '{990
-
331
Tabel4: Nilai t.'"
c-.10 a,.05 ao.025 a''01 s - .005
r.3631.3561.3501.3451 .341
I2346
67EI
10
u12l3l4r5
t6t718l920
2rlnl24
1
25
20lztlzgt29I i"t.
3.078r .886r.6381.533l.{76
l'.4401.4151.397r .383r.372
1.943r.895r.860l-833'r.812
1.?96I,782r.77r1.7611.753
1.746t.7401.734t.729r.725
I.7211.717l 714l.7llr.708
1.7061 .7031.7011.699r(.ols1,._-.
12.7064.3033. 1822.7762.57r
2.4472,3052.3062.2622.228
'1 3'ol '3:311i,ili i,Hl
t.
6.3142.s202.3532.r322.015
\3.143 3'?07t
?,lli i,ili;.;;i 3'r6e
3. 1063.0553.0122.9772.947
2.9212.89E2.8782. E6l2.845
2.2012.r792. 1602.145 I2. 131
2Jlg.2 .6812.6502.6242.N2
2316
6IEI
l0
llt2r3l{l5
t8t7r8l920
2ll22 Izsl2l25
28272829inf
r.337r.3q61.330-1.32E1.325
1.3231.32tr.319r.3181.316
1.3151.3141.313l.3tr-r.282
2. 1012.093 '2.086
2.0802.0742.0092.0&2.060
2.0562.O52
-2.0482.043r.960
2.4792.4732.4672.4622.328
2.8i112.8192.N72.7972.187
2.7792.7712.7w1.759-,t-576'
2.5832.5672.5522.5392.528
2.5182.5082.5002.4922.4&1
iHITJ'st*, Ji;,H',l"h"T?1:iiil" "' Mathematical
Statistics
I
\
r
t
I
-
t-r-a
332
Tabel 5: Nilai 12o*
0.01 i 0.()05
0.04391I o.or t570.0100 I 0.02010.07 l7 I 0.1 l 5o.412 i 0.554
0.676 I 0.872
r.7r5 I 2.0882.156 i 2.ss82.603 I 3.0513.074 I 3.5714.07s I 4.6604.601 1 5.229
I l.160I r.808t 2.46 rI3.l2t13.787
0.0:3931 3.8110.101 l._J.ee r0.3s2 I 7.8150.7rl I 9.4881.t45 llt.070
0.0tr9820.05060.21 60.4840.831
t.737t.6902.1 802.7003.247
3.8t64.4045.0095.6296.162
6.908
14.57 3t 5.30816.04716.79t
i r 5.3?et6.l5t
17.70818.493
t?.59214.067I 5.507l(r.919l 8.307
19.67521.02622.36223.68 5
24.996
38.88 5
40.r l341.33742.55"143;t11
2t.92023.13724.73626.t927.488
28.84530.19r31.52632.85234. I 70
35.47936.78138.07639.16440.646
41.92343. I 9444.16t45.7224(r.919
14.449 I 16.812 l851li16.013 118.175 :0.1?ti17.515 l:0.0e0 :1.e5519.021 I 21.666 ll.5Ee20.481 I 21.209 :5.1s8
24.125' ?6.15176.?17 28.3()t)27.688 l9.Sle29.1{l 3 r.l le30.578 3l,EL)l
32.000 1.1.:6733.409 35.7 t tt31.805 17. I 5636. l9l 38.58137.566 19.9e7
7.962 1 26.2968.6'12 I 27.587
r0.lr7 | 30.14410.851 lll.4l0
I 1.59t 132.67 |12.318 | 11.92413.091 I 35.172I 3.848 I 36.4 r 514.61 I I 37.652
I2345
6789
IO
7l222l7425
2627282930
Sumber: Walpole, R.EPublishing Co., Inc.
1982. htroduction to Statistics. Nerv York: Macmillan
iI
l,
-
333
\v
Tabet 6: Nilai X's.s5,,1,"2 '
U7
U1
I 1 3 4 5 6 7 I 9
202l))23
24
25262128
29
lprm
60120
@
I7
34
5
6789
t0lll2l3l4
l5l5l7r8t9
t 61.418.5tt0.137.71
-54\u.e'5.595.325.t2
4.354.324.304.284.26
4.244.214.214.204.18
4.1'l4.084.00t.923.84
4.964.844.154.674.60
4.544.494.454.414.38
3.683.633.593.55t.52
3.493.47t.u3.423.40
t.t23.733.153.O',t
3.00
199.519.009.556.94
5.79
-5.144.744.46426
4.103.989d93.8 r3.'t4
3.393.373.353.343.33
215.719.169.286.59
5.4t4.764.354.073.86
3.713.593.493.4t3.34
3. l03.073.053.033.01
2.992.982.962.9s2.93
3.291.243.203.r63.13
2.922.842.762.682.&
224.619.259.t26.39
5. l94.534.123.843.63
3.483.363.263.183.1 I
1.063.012.962.912.90
2.8't2.842.822.802.78
2.762.142.732.712.70
2.692.612.532.452.17
5.054.393.973.693.48
230.219.309.016.26
3.331.203.1 I3.032.96
2.902.852.812.172.74
2.712.682.662.642.62
2.512.452.372.292.21
234.Ot9.338.946.16
3.223.093.002.922.85
2.792.142.102.662.63
2.&2.57',
-
334
Tabel 6: Nilai f,'o.os;'r,'z (lanjutan)
245.e | !18.0 249.1 l25o.l l25l.l r
-
Tabel 6: Nilai Fs.s1,,1,"2
:
Ij
,l
i
t
405298.5034.1221.20
16.2613.7 512.251t.26I0.56
t0.049.659.339.078.86
8.688.5 38.408.298. r8
8.t08.027.957.887.82
'1.77
1.727.687.647.60
7.567.3t?.086.856.63
I23
4
5
6789
t0ltt2l3t4
t5r6t7l8t9
202l2223
25
262'1
2829
304060
120
4999.5 ts40399,00 I 9s.t730.82 I 2e.4618.00 I 16.6e
I
t3.27 i t2.06lo.92l 9.789.55 | 8:458.65 I 1.se8.02 I 6.99'1.s6 | 6.55'1.2t I 6.226.93 I 5.956.70 | 5.746.51 I 5.566.36 I s.426.23 I s.2e6.ll I s.t86.0r I 5.095.93 | 5.0t5.85 i 4.945.78 I 4.81s.'t2 | 4.82s.66 | 4.765.61 I 4.725.57 i 4.685.53 I 4.64J.49 I 4.605.45 I 4.57s.421 4.s4
s.39 | 4.5t5.r8I 4.3t4.98 I 4.t34.'19 | 3.es4.61 J 3.?8
562599.2528.7 t15.98
I r.399. l57.857.0t6.42
5.995.675.4 t5.2t5.0.1
4.894.1't4.6'14.584.50
4.414.174.314.264.22
4. t84.t44.1 t.{.07
4.U
4.023.833.653.483.32
5764 lssSS lsqzsee.30J ee.33l ss.3628.24 | 27 .et I ?7.67ts.52 l ts.ztl t4.98ro.97J 10.67 I to.468.75 I 8.47 I 8.267.46 1 7.teI 6.ee6.63 i a.tt | 6. t86.06 I 5.80 1 5.6t5.64 1 5.39 I s.2os.32 I s.ozl 4.8es.o6i 4.82 1 4.644.86 I 4.621 4.444.6e1 4.46 1 4.28
4.32 I 4.144. r0 | 3.93
3,8 t I 3.643.7 r i 3.s4
3.85 I 3.63i 3.463.821 r.sel J.tzJ.J' | ),aZ3.781 3.561 3.ler.zsl 3.sJl 3.363.711 3.sol 3.33tt3.70 1 3.4'1 I 3.3o3.5t I 3.2e1 3.t23.341 3.121 z.ss3. rz | 2.e61 z.ls3.021 2.801 2.64
5981 160229e.37 | 99.3e27.4e | 27 .3sr4.80 | 14.6610.29 I 10.168.t01 '1.986.84 I 6.726.03 i 5.915.47 | 5.155.06 4.944.74 4.634.50 4.394.30 4.194.t4 4.034.00 , 3.89r.ae | 3.;A3.'19 I 3.683.71 | 1.603.63 I 3.s23.56 I 3.46l.5t I 3.403.45 | 3.3s3.4t I 3.lo3.36 I 3.263.32 I 3.223.29 | 3.t83.26 I 3.ts3.23 I 3. t23.20 | 3.093.r7 | 3.072.99 | 2.892.82 | 2.722.66 I 2.s62.5r | 2.4t
!'
-
777/I,iI
336
Tabel 6: Nilai Fo.or;"r,a (lanjutan)
V2
l1
t0 l2 t5 20 24 30 40 60 120 @
202ta1
2324
2526272829
304060
120€
I234
56789
t0nl2t3l4
t5t6l7t8l9
605699.4027.2114.55
10.057.876.625.815.26
4.854.544.304.103.94
3.803.693.593.513.43
3.3?3.3 r1.26,3.213.t1
3.r33.093.0(3.033.0c
2.91,2.8C2.632.412.12
il06 igg.42ll
' 27.O5114.371
4.114.404.161.963.80
1.6'l.1551.463.3'l3.30
2.842.662.502.142.t8
9.897.126.4'l5.675.t1
3.21t.t73.t23.073.03
2.992.962.9t2.902.8'1
4.564.254.013.823.66
3.093.032.982.932.89
2.8s2.812.182.752;t3
lersz II qs.ellI ze.srI 14.20
9.721.566.315.524.96
3.523.413.3 r3.233.15
2.742.522.152.t92.04
520999.4s26.691l4.02l
9.55't.40
6.165.364.81
4.4t4.t03.863.663.51
t.l71.263. t63.083.00
2.942.882.832.782.74
2.602.57
2.552.37
2;to2.662.61
2.202.031.88
3599.4626.6013.93
9.477.3t6.075.284.73
4.334.023.783.593.43
3.293. l83.083.m2.92
2.862.802.752.7C2.6e
2.622.582.552.522.49
2.41tro2.12r.9J1.79
626t 16287es.47l ss.4726.5O1 26.41r3.84] 13.75
e.38 l s.zs'1.23i 't.14
I s.9e i s.9lI s.zol s. r 2I a.es I 4.51ttI tzsl 4.11I r.snl 3.86I r.zol 3.62I r.sr i r.+:I 3.3s 3.2'1ILi 3.2rI 3.r3| 3.loi 3.02I r ooi 2.s2) 2.92 2.84J 2.84 2:t(
2;78 2.692.72' 2.542.6't 2.5t2.62 2.542.58 2.492.54 2.4:2.50 2.4i2.41 2.3t2.U 2.3:2.41 2.3i2.39 2.3(2.20 2.112.03 r I .9tr .861 t.7(l -7Or 1.5!
3.052.912.832.752.67
63r399.4826.1213.65
9.207.065.825.034.48
4.083.783:543.343-r8
2.612.552.502.452.40
2.362.132.292.262.23
2.212.O21,841.661.47
6339 i636699.49i 99.5026.22: 26.t313.561 13.46
I
9.1 l I 9.026.e7 i 6.88s.741 s.654.95I 4.864.401 4.1IllI 4.00i 3.er
I 3.6ei 3.603.4s i 3.36L r.zsi 3.liI r.os i 3.oot1I z.sol z.BjI z.sa 2)s
1 z.'ts', 2.6si z.oo i t.s1| :. ssi z.4stt1 2.s2 ?.47I a.46 2.]6I z.+o 2.l rI z.rs 2.26I z.l r 2.21
2.77 2.112.23 2.1l2.20 2.102.t't 2.062.14 2.01
Il
2.1 I i 2.011.92 r.801.71 , 1.601.53r 1.381.32i t.00
i
t
It
\
-
T
337
Lilliefors
Sumber: Sudjana 1992. l4etode Statistika. Bandung: Tarsito
abel 7: Nilai Kritik UUkuran
Sampel(n)
Tinekat Signifikansi (a)
0.01 0.05 0.10 0.15 0.20
45
6
7
8
9
l01lt2l3l415
16
t'7
l8l920
25
30
n>30
0.4110.4050.3640.3480.3310.31 I0.2940.2840"2750.2680.2610.25',1
0.2500"2450.2390.2350.2310.2000.187L031r{n
0.3810.33',7
0.3190.3000.2850.2710.2580.2490.2420.2340.22'.7
0.2200.2130.2060.2000.1950.1900.r'730.1610.886_..-Jn
0.3520.3150.2940.2760.2610.2490.2390.2300.2230.2140.20'l0.2010.1950.2890.1840.1790.t740.1580.1440.805
-Jn
0.3190.2990.2'17
0.2580.2440.2330.224a.2170.2120.2020.1940.1870.1820.1770.1730.1690.1660.1,17
0.1360.768'---Jn
0.3000.2850.2654.2470.2330.2230.2150.2060.1990.1900.1830.t770.1730.1690.1660.1630.1600.1420.13 1
0;736-----:-Jn
-
Tabel S: Nilai Kritik Uji Bartlett bx(o.osin)
n
Number of Populations, k
2 , 4 5 6 7 8 9 l0
3
45
6't
E
9l0
26
27
28
2930
4050CI80
100
ilInl13 I
rl16
l
17 I
18 Ire]i'
lzrlzzlztlzqlzs
.3r23
.4780
.5845
.6563
.70'75
.7456
.7751
.7984
.8175
.8332
.8465
.8578
.86',t6
.876 t
.8836
.8902
.8961
.90r5
.9063
.9t06
.9146
.9182
.92t6
.9246
.92'75
.9301
.9326
.9348
.9513,96t2.9671.9758.9807
6483,7000-
,7381
.7686
.7924
.8118
.8280
.8415
.8532
.8632
.87 t9
.8796
.8865
.8926
.8980
.9030
.9075
.9t t6
.9153
.9r87
.92t9
.9249
.9276
.9301
.9325
.9495
.9591
.9665
.9749
.9799
3058
4699
s162.
.3173
.4803
.5850
.6559
.7065
.7444
.7737
.7970
.8160
.83 l7
.8450
.8564
.8662
.8747
.8823
.8890
.8949
.9003
.9051
.9095
.9135
.9172
.9205
.9236
.9265
.9292
.93 r6
.9340
.9506
.9606
.9672
.9754
.9E04
.6646
.'n42
.'15t2
.7798
.8025
.8210
.83tu
.8493
.8604
.8699
.8782
.8856
.892r
.8979
.9031
.9078
.9120
.9159
.9r95
.9228
.9258
.9286
.9312
.9336
.9358
.9520
.9617
.968 r
.976t
.9809
.3299
.4921
.5952
*
5028
6045
,672'7
.72t3
.75't4
.7854
.8076
.8257
.8407
.8533
.8641
.8'134
.88 l5
.8886
.8949
.9006
.9057
.9103
.9lM
.9t82
.92t't
.9249
.9278
.9305
.9330
.93v
.93'16
.9533
.9628
.9690
.9768
.9Et5
.5122
.6t26
.6798
.7275
.7629
.'1903
.8r21
.8568
.8673
.876/.
.8843
.8913
.8975
.9030I .qosoI
L,rol.srosI .szozI qzroI .szetI
I .szstI .gtzzI stnI .srzoI .s:s r
L,0,I .so:zI .possI .ntql.sars
.8298
..8444
.5204
.6191
.6860
.'1329
.16't7
.7946
.8160
.8333
.8477
.8598
.8701
.8790
.8868
.8936
.8997
.9051
.9 100
.9t43
.9183
.9219
.9253
.9283
.931 I
.933'7
.936t
.9383
.940/
.9555
.9645
.9705
.9779
.9823
.527'l
.6260
.6914
.7316
.7719
.7984
.8194
.8365
.8506
.8625
.8726
.88 l4
.8890
.8957
.9016
.9069
.9117
.9 160
.9199
.9235
.926'7
.9297
.932s
.9350
.9314
.9396
.9416
.9564
.9652
.97t0
.9783
.9821
.rr*, I
.orrs I
.uru, I.?+rs I.nv I.eorr
I
.8224
.8392
.853 l,8648
.8748
.8834
.8909
.8975
.9033
.9086
.9132
.9175
.9213
.9248
.9280
.9309
.9336
.936r
.9385
.9406
.9426
.9512
.9658
.9716
.9187
.9830
l
i
-
Tabel S: Nilai Kritik Uji Bartlett bxo.or;o) Qanjutan)
il
Number of Populations, k
2 3 4 5 6 7 I 9 l0J
4
5
6
1
8
9
IO
.t4lI
.2843.3984
.4850
.55 t2
.6031
,6415.6783
.10637299750 I
.76117825
7958
807(r
8 t8l8275
8360
8437
It507
857 I86308684
8734878 I
8824
8864
8m2
9t759339944995n69669
I.t672.3t65.43M
.5149
.5787
.6282
.6676
.6996
.'1260
.7483
.16'12
.7835
.7971
.8 t01
.82 I I
.8309
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339
R.E. 1982. Introduction to Statistics. Nen,York: Macmillan