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Pregled bibliografske jedinice broj: 399325

Determining Adequate Sample Sizes for Multiple Linear Regression used for Explanatory purposes


Rebernjak, Blaž
Determining Adequate Sample Sizes for Multiple Linear Regression used for Explanatory purposes // 19. Dani Ramira i Zorana Bujasa: program i sažeci priopćenja / Ljubotina, Damir ; Kamenov, Željka ; Mikac, Una ; Urch, Dražen (ur.).
Zagreb: Odsjek za psihologiju Filozofskog fakulteta Sveučilišta u Zagrebu, 2009. str. 69-69 (predavanje, domaća recenzija, sažetak, znanstveni)


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Naslov
Determining Adequate Sample Sizes for Multiple Linear Regression used for Explanatory purposes

Autori
Rebernjak, Blaž

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
19. Dani Ramira i Zorana Bujasa: program i sažeci priopćenja / Ljubotina, Damir ; Kamenov, Željka ; Mikac, Una ; Urch, Dražen - Zagreb : Odsjek za psihologiju Filozofskog fakulteta Sveučilišta u Zagrebu, 2009, 69-69

ISBN
978-953-175-339-5

Skup
19. Dani Ramira i Zorana Bujasa

Mjesto i datum
Zagreb, Hrvatska, 22.04.2009. - 25.04.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
Statistical power; regression analysis; Monte Carlo simulation; sample size

Sažetak
There are numerous methods for determining minimum sample sizes when using multiple linear regression, from various rules of thumb to elaborate power analysis. Different methods, however, often yield surprisingly discrepant estimations. Monte Carlo simulation was used to examine models with varying number of predictor variables (2, 3, 4, 5, 7, 9, 11, 15), average intercorrelation between predictor variables (0, 0.1, 0.3, 0.5) and standardized regression coefficient of the specific predictor variable of interest (0.1, 0.3, 0.5), resulting in 96 different situations. Samples of varying sizes (from 25 to 5000) were drawn from multivariate normal distributions with 96 specified population correlation matrices. For each situation 5000 replications were made, resulting in a total of 7680000 analyses preformed. Based on the results for each situation, interpolation was used to approximate the sample size needed for the power to reach 0.80. Results show that all of the hypothesized variables influence minimum sample size with size of the regression coefficient being the strongest determinant. Limits of the present approach are discussed, and comparisons with proposed methods for determining adequate sample size are made for three hypothetical situations.

Izvorni jezik
Engleski

Znanstvena područja
Psihologija



POVEZANOST RADA


Projekti:
130-1301683-1402 - Mjerenje latentnih psiholoških svojstava: Dispozicije i procesi ličnosti (Buško, Vesna, MZOS ) ( CroRIS)

Ustanove:
Filozofski fakultet, Zagreb

Profili:

Avatar Url Blaž Rebernjak (autor)


Citiraj ovu publikaciju:

Rebernjak, Blaž
Determining Adequate Sample Sizes for Multiple Linear Regression used for Explanatory purposes // 19. Dani Ramira i Zorana Bujasa: program i sažeci priopćenja / Ljubotina, Damir ; Kamenov, Željka ; Mikac, Una ; Urch, Dražen (ur.).
Zagreb: Odsjek za psihologiju Filozofskog fakulteta Sveučilišta u Zagrebu, 2009. str. 69-69 (predavanje, domaća recenzija, sažetak, znanstveni)
Rebernjak, B. (2009) Determining Adequate Sample Sizes for Multiple Linear Regression used for Explanatory purposes. U: Ljubotina, D., Kamenov, Ž., Mikac, U. & Urch, D. (ur.)19. Dani Ramira i Zorana Bujasa: program i sažeci priopćenja.
@article{article, author = {Rebernjak, Bla\v{z}}, year = {2009}, pages = {69-69}, keywords = {Statistical power, regression analysis, Monte Carlo simulation, sample size}, isbn = {978-953-175-339-5}, title = {Determining Adequate Sample Sizes for Multiple Linear Regression used for Explanatory purposes}, keyword = {Statistical power, regression analysis, Monte Carlo simulation, sample size}, publisher = {Odsjek za psihologiju Filozofskog fakulteta Sveu\v{c}ili\v{s}ta u Zagrebu}, publisherplace = {Zagreb, Hrvatska} }
@article{article, author = {Rebernjak, Bla\v{z}}, year = {2009}, pages = {69-69}, keywords = {Statistical power, regression analysis, Monte Carlo simulation, sample size}, isbn = {978-953-175-339-5}, title = {Determining Adequate Sample Sizes for Multiple Linear Regression used for Explanatory purposes}, keyword = {Statistical power, regression analysis, Monte Carlo simulation, sample size}, publisher = {Odsjek za psihologiju Filozofskog fakulteta Sveu\v{c}ili\v{s}ta u Zagrebu}, publisherplace = {Zagreb, Hrvatska} }




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