ASOSIASI (hubungan data katagorik) Oleh : Roni Saputra, M.Si

ASOSIASI TABEL r x c

Kegunaan Menguji kuat lemah hubungan tabel r x c Mengetahui kemaknaan (signifikansi) hubungan tabel r x c

Rumus Pearson Goodman Kruskall Cremer’s Tschuprow

Persyaratan Data berskala nominal atau ordinal Tersaji dalam bentuk tabel silang

Contoh Aplikasi 1 ADANYA KASUS ISPALUAS LUBANG VENTILASI / luas lantaiJUMLAH < 10%10% - 20%> 20% ADA KASUS TIDAK ADA KASUS JUMLAH

Penyelesaian Hipotesis –Ho : C = 0  tidak ada hubungan antara ventilasi dengan adanya kasus ISPA –Ha : C  0  ada hubungan antara ventilasi dengan adanya kasus ISPA Level signifikansi –  = 10% = 0,10 Rumus statistik penguji

O 11 = 16E 11 = (60 x 28) / 124= 13,55 O 12 = 24E 12 = (60 x 54) / 124= 26,13 O 13 = 20E 13 = (60 x 42) / 124= 20,32 O 21 = 12E 21 = (64 x 28) / 124= 14,45 O 22 = 30E 22 = (64 x 54) / 124= 27,87 O 23 = 22E 23 = (64 x 42) / 124= 21,68 ADANYA KASUS ISPALUAS LUBANG VENTILASI / luas lantaiJUMLAH < 10%10% - 20%> 20% ADA KASUS TIDAK ADA KASUS JUMLAH

Katagori hubungan sangat lemah

Df/db/dk –Df = ( r-1)(c-1) = (2-1)(3-1) = 2 Nilai tabel –Nilai tabel X2,  = 0,10 ; df = 2, = 4,61 Daerah penolakan –Menggunakan gambar –Menggunakan rumus –  0,121  <  4,61  ; berarti Ho diterima, Ha ditolak Kesimpulan –Tidak ada hubungan antara ventilasi dengan adanya kasus ISPA, pada  = 10%

ASOSIASI TABEL 2 X 2

Kegunaan Menguji kuat lemah hubungan khusus tabel 2 x 2 Mengetahui kemaknaan hubungan khusus tabel 2 x 2

Persyaratan Data berskala nominal atau ordinal Hanya dua kategori Tersaji dalam bentuk tabel silang

Rumus Phi Yule Ives & Gibbons

Contoh Aplikasi 2 PRODUKTIVITASPENGALAMAN KERJAJUMLAH < 5 TH  5 TH < STANDAR  STANDAR JUMLAH363066

Penyelesaian Hipotesis –Ho :  = 0  tidak ada hubungan antara pengalaman kerja dengan produktivitas –Ha :   0  ada hubungan antara pengalaman kerja dengan produktivitas Level signifikansi –  = 10% = 0,10 Rumus statistik penguji

O 11 = 24E 11 = (34 x 36) / 66= 18,55 O 12 = 10E 12 = (34 x 30) / 66= 15,45 O 21 = 12E 21 = (32 x 36) / 66= 17,45 O 22 = 20E 22 = (32 x 30) / 66= 14,55 PRODUKTIVITASPENGALAMAN KERJAJUMLAH < 5 TH  5 TH < STANDAR  STANDAR JUMLAH363066

Katagori hubungan lemah

Df/db/dk –Df = ( r-1)(c-1) = (2-1)(2-1) = 1 Nilai tabel –Nilai tabel X 2,  = 0,025 ; df = 1, = 5,024 Daerah penolakan –Menggunakan gambar –Menggunakan rumus –  5,96  >  5,024  ; berarti Ho ditolak, Ha diterima Kesimpulan –Terdapat hubungan yang bermakna antara pengalaman kerja dengan produktivitas, pada  = 2,5%

dfKemungkinan di bawah Ho bahwa X 2 Chi - Square 0,0050,0100,0250,0500,1000,200 17,8796,6355,0243,8412,7061, ,5979,2107,3785,9914,6053, ,83811,3419,3487,8156,2514, ,86013,27711,1439,4887,7795, ,75015,08612,83211,0709,2367, ,54816,81214,44912,59210,6458, ,27818,47516,01314,06712,0179, ,95520,09017,53515,50713,36211, ,58921,66019,02316,91914,68412, ,18823,20920,48318,30715,98713, ,75724,72521,92019,67517,27514, ,30026,21723,33721,02618,54915, ,81927,68824,73622,36219,81216, ,31929,14126,11923,68521,06418, ,80130,57827,48824,99622,30719, ,26732,00028,84526,29623,54220, ,71833,40930,19127,58724,76921, ,15634,80531,52628,86925,98922, ,58236,19132,85230,14427,20423, ,99737,56634,17031,41028,41225, ,40138,93235,47932,67129,61526, ,79640,28936,78133,92430,81327, ,18141,63838,07635,17232,00728, ,55842,98039,36436,41533,19629, ,92844,31440,64637,65234,38230, ,29045,64241,92338,88535,56331, ,64546,96343,19440,11336,74132, ,99348,27844,46141,33737,91634, ,33649,58845,72242,55739,08735, ,67250,89246,97943,77340,25636,250

df0,0010,0050,0100,0200,0250,0500,1000,2000,2500, ,837,8796,6355,415,0243,8412,7061,6421,321,07 213,8210,5979,2107,827,3785,9914,6053,2192,772,41 316,2712,83811,3419,849,3487,8156,2514,6424,113,66 418,4614,86013,27711,6711,1439,4887,7795,9895,394,88 520,5216,75015,08613,3912,83211,0709,2367,2896,636,06 622,4618,54816,81215,0314,44912,59210,6458,5587,847,23 724,3220,27818,47516,6216,01314,06712,0179,8039,048,38 826,1221,95520,09018,1717,53515,50713,36211,03010,229,52 927,8823,58921,66019,6819,02316,91914,68412,24211,3910, ,5925,18823,20921,1620,48318,30715,98713,44212,5511, ,2626,75724,72522,6221,92019,67517,27514,63113,7012, ,9128,30026,21724,0523,33721,02618,54915,81214,8514, ,5329,81927,68825,4724,73622,36219,81216,98515,9815, ,1231,31929,14126,8726,11923,68521,06418,15117,1216, ,7032,80130,57828,2627,48824,99622,30719,31118,2517, ,2934,26732,00029,6328,84526,29623,54220,46519,3718, ,7535,71833,40931,0030,19127,58724,76921,61520,4919, ,3137,15634,80532,2531,52628,86925,98922,76021,6020, ,8238,58236,19133,6932,85230,14427,20423,90022,7221, ,3239,99737,56635,0234,17031,41028,41225,03823,8322, ,8041,40138,93236,3435,47932,67129,61526,17124,9323, ,2742,79640,28937,6636,78133,92430,81327,30126,0424, ,7344,18141,63838,9738,07635,17232,00728,42927,1426, ,1845,55842,98040,2739,36436,41533,19629,55328,2427, ,6246,92844,31441,5740,64637,65234,38230,67529,3428, ,0548,29045,64242,8641,92338,88535,56331,79530,4329, ,4849,64546,96344,1443,19440,11336,74132,91231,5330, ,8950,99348,27845,4244,46141,33737,91634,02732,6232, ,3052,33649,58846,6945,72242,55739,08735,13933,7132, ,7053,67250,89247,9646,97943,77340,25636,25034,8033, ,7763,6959,3455,7651,8045, ,4976,1571,4267,5063,1756, ,9588,3883,3079,0874,4066, ,22100,4295,0290,5385,5377, ,32112,33106,63101,8896,5888, ,30124,12118,14113,14107,5698, ,17135,81129,56124,34118,5010,9,14