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KULIAH 11

Heteroskedasticity Serial correlation Multicollinerity Normality Omitted variables. KULIAH 11. What’s Heteroskedasticity ?. Varians residual tdk konstan. Prototype. Penyebab. Error learning  misal : belajar mengetik

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KULIAH 11

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  1. Heteroskedasticity • Serial correlation • Multicollinerity • Normality • Omitted variables KULIAH 11

  2. What’s Heteroskedasticity?

  3. Varians residual tdkkonstan Prototype

  4. Penyebab • Error learning  misal: belajarmengetik • Sampel yang beragam  rumahtanggadgnpendptn, perusahaanberbagai level • Adanya outlier • Omitting variables • Sebaran data tidak normal • incorrect data transformation (e.g., ratio or first difference transformations) and • incorrect functional form (e.g., linear versus log–linear models) •  lebihseringterjadipada data cross section

  5. Efekthdestimasi • BLUE? • Linear Unbiased but not efficient  LU Which is the Homoscedastic? Homoscedastic?

  6. KOnsekuensi • Bagaimanaestimasiygdiperolehterkaitvariansygtidakkonstan? • - Signifikansi ? • - CI ? •  misleading …

  7. Mendeteksiheteroskedasticity • Nature of problem (functional form review ) • PeriksaGrafik residual • Tesstatistik

  8. TesStatistik • Bahwa residual berkorelasidenganvarians • Park Test •  signifikan residuals are heteroskedastic •  weakness: may not satisfy the OLS assumptions and may itself be heteroscedastic • Glejser Test •  weakness: the error term vi has some problems in that its expected value is nonzero, it is serially correlated and ironically it is heteroscedastic, some models are non linear.

  9. Ex: Park & Glejser test

  10. H0: residuals are homoskedastic H1: residuals are heteroskedastic

  11. Goldfeld-QuandtTest: the heteroscedastic variance, σ2i , is positively related to one of the explanatory variables in the regression model, ex:  •  σ2i would be larger, the larger the values of Xi • Weakness: • - depend on which c is arbitrary, • - for X > 1 Var, which X is correct to be ordered?

  12. Ex: • Y = Income, • X = Consumption, • n = 30, • c = 4

  13. Ex: • Y = Income, X = Consumption, n = 30, c = 4

  14. Breusch–Pagan–Godfrey Test • Weakness: - large sample needed  for small sample, depend much on normality assumption Ex:  So, H0:  residuals are Homoskedastic

  15. ESS = SSR

  16. Ex:

  17. White’s General Heteroscedasticity Test. • Weakness: more variables will consume more df. H0: residuals are homoskedastic Or H0:  , df = # parameter -1

  18. Koenker–Bassett (KB) test. • H0: residuals are homoskedastic • Or H0: • Teshipotesis using t-test Obtain residual, then estimate

  19. Other tests….. • Find other references…

  20. Remedial Perhatikan1 & 2 Reparameterize before analize !

  21. Reparameterize before analize !

  22. Practically, run OLS first, then run: •  consistent estimator  large sample needed

  23.  measure the elasticity

  24. Other Remedial Procedure

  25. Run the following (weighted) regression: • Compare with the unweighted Apaperbedaankedua model ini?

  26. White suggests: • For RLB:

  27. Important notes

  28. Tugas Bonus • Pelajari Gujarati, Basic Econometrics, 14thedition, • Ch. 11, section 11.7

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