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Analisis Statistik Dua Variabel Nominal

 

 

Pada analisis statistik dua variabel nominal (melanjutkan dari dua variabel interval ), maka  jenis ini dibedakan menjadi dua dengan kata kunci “Are the variables both two-point scales”. Jadi jika skripsi, tesis atau disertasi termasuk dalam kategori penelitian dua variabel. Maka anda bisa menjadi pertanyaan tersebut dengan jawaban ‘ya’ atau ‘tidak’.

 

I.  Jika Jawabannya “YA”

 

Maka langkah selanjut dalam pemilihan analisis untuk skripsi, tesis, atau disertasi adalah symmetry atau covariation.

 

Symmetry

Statistical Test

(none)

Statistical Measure

McNemar's test of symmetry

McNemar's test of symmetry is appropriate for parallel measures from matched cases as well as for repeated measures on a single set of cases. In this case, McNemar's test of symmetry is equivalent to Cochran's Q.

SPSS

NPAR

SAS

Univariate

Sumber :

Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956. 

 

 

Covariation

Statistical Test

Yule's Q, atau Phi

Statistical Measure

- Fisher's exact test,

- Refer critical ratio of phi to a table of the unit normal curve,

- Pearson chi-square

 

Jika menggunakan phi:

Spss      : Crosstabs

Sas       : Freq

 

Jika menggunakan Critical ratio of phi:

SPSS      : CROSSTABS

SAS        : FREQ

 

Jika menggunakan Fisher's exact test:

SPSS      : CROSSTABS

 

Jika menggunakan Pearson chi square:

SPSS      : CROSSTABS

SAS        : FREQ

 

Yule, G. V., and Kendall, M. G. An Introduction to the Theory of Statistics Fourteenth edition. London: Griffin, 1957.

McNemar, Q. Psychological Statistics. Fourth edition. New York: Wiley 1969.

Siegel, S. Nonparametric Methods for the Behavioral Sciences. New York: McGraw-Hill, 1956.

Hays, W. L. Statistics for the Social Sciences. Second edition. New York: Holt, Rinehart, and Winston, 1973.

 

II.  Jika Jawabannya “TIDAK”

Pada bagian ini dipecah lagi menjadi dua bagian dengan fokus pada “Adakah perbedaan diantara variabel dependen dengan variabel independen?”

 

1.      Ada Perbedaan

  •       . Number in Each Category

Statistical Test

Goodman and Kruskal's tau b

Statistical Measure

Refer critical ratio of tau b to a table of the unit normal curve.

Sumber :

Blalock, H. M., Jr. Social Statistics. Second edition, revised, New York: McGraw-Hill, 1979.

Goodman, L. A., and Kruskal, W. H. Measures of association for cross classification IV: simplification of asymptotic variances. Journal of the American Statistical Association 67 (1972)

 

·        Number in Modal Categories

Statistical Test

Asymmetric lambda

Statistical Measure

Refer critical ratio of lambda to a table of the unit normal curve

SPSS

CROSSTABS

SAS

FREQ

Sumber :

Hays, W. L. Statistics for the Social Sciences. Second edition. New York: Holt, Rinehart, and Winston, 1973. Goodman, L. A., and Kruskal, W. H. Measures of association for cross classifications 111: approximate sampling theory. Journal of the American Statistical Association 58 (1963)

 

2.      Tidak Ada Perbedaan

·        Agreement

-         Ada penalty jika variabel tidak berdistribusi sama

Statistical Test

Scott's coefficient of agreement, pi

Statistical Measure

(none)

Sumber:

Krippendorf, K. Bivariate agreement coefficients for reliability of data. In Sociological Methodology: 1970, edited by E. F. Borgatta and G. W. Bohrnstedt. San Francisco: Jossey-Bass, 1970.

 

-         Tidak ada penalty jika variabel tidak berdistribusi sama

Statistical Test

Cohen's agreement coefficients, kappas

Statistical Measure

Refer critical ratios for Cohen's coefficients to a table of the unit normal curve.

Sumber:

Cohen, J. A coefficient of agreement for nominal scales. Educational and Psychological Measurement 20 (1960):; Cohen, J. Weighted kappa: nominal scale agreement with provision for scaled disagreement or partial credit. Psychological Bulletin 70 (1968)

Cohen, J.; and Everitt, B. S. Large sample standard errors of kappa and weighted kappa. Psychological Bulletin 72 (1969)

 

·        Symmetry

Statistical Test

(none)

Statistical Measure

McNemar's test of symmetry (McNemar's test of symmetry is appropriate for parallel measures from matched cases as well as for repeated measures on a single set of cases.)

SPSS

NPAR

Sumber:

 

Bowker, A. H., A test for symmetry in contingency tables. Journal of the American Statistical Association 43 (1948)

 

·        Covariation

-         Number in Each Category

(a)    With a statistic whose upper limit varies with the number of categories and whose upper limit may be less than one

Statistical Test

Contingency coefficient

Statistical Measure

Pearson chi-square

SPSS

NPAR

SAS

FREQ

Sumber:

Hays, W. L. Statistics for the Social Sciences. Second edition. New York: Holt, Rinehart, and Winston, 1973.

 

(b)   With no statistic whose upper limit varies with the number of categories and whose upper limit may be less than one

Statistical Test

Cramer's V

Statistical Measure

Pearson chi-square

SPSS

CROSSTABS

SAS

FREQ

Sumber:

Hays, W. L. Statistics for the Social Sciences. Second edition. New York: Holt, Rinehart, and Winston, 1973. (Hays called it Cramer's statistic); Srikantan, K. S. Canonical association between nominal measurements. Journal of the American Statistical Association 65 (1970).

 

-         Number in Modal Category

Statistical Test

Symmetric lambda

Statistical Measure

Refer critical ratio of symmetric lambda to a table of the unit normal curve

SPSS

NPAR

SAS

FREQ

Sumber:

Symmetric lambda: Hays, W. L. Statistics for the Social Sciences. Second edition. New York: Holt, Rinehart, and Winston, 1973.

Critical ratio: Goodman, L. A., and Kruskal, W. H. Measures of association for cross classifications III: approximate sampling theory. Journal of the American Statistical Association 58 (1963)

 

 

Catatan:

Seperti biasa, silakan berkonsultasi dengan dosen pembimbing skripsi saudara. Lebih baik jika Anda mempersiapkan proses bimbingan skripsi dengan melakukan pencarian di internet mengenai hal terkait. (membaca sumber yang dicantumkan).

 

 

 

 

Tahukan Anda...

Hikmah kelahiran bayi. Kelahiran bayi-bayi mungil menjadi tanda bahwa di tengah dunia yang penuh hiruk-pikuk, penuh politik dan banyak kemerosotan moral ini masih ada kesucian, kemurnian dan kepolosan. Saat itu juga semestinya teringat tentang darimana datangnya misteri kehidupan.

 

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