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Application of Tetrachoric and Polychoric Correlation Coefficients to Forecast Verification


Pasarić, Zoran; Juras, Josip
Application of Tetrachoric and Polychoric Correlation Coefficients to Forecast Verification // Geophysical Research Abstracts, Vol. 8
Beč, 2006. (poster, nije recenziran, sažetak, znanstveni)


Naslov
Application of Tetrachoric and Polychoric Correlation Coefficients to Forecast Verification

Autori
Pasarić, Zoran ; Juras, Josip

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

Izvornik
Geophysical Research Abstracts, Vol. 8 / - Beč, 2006

Skup
European Geosciences Union General Assembly

Mjesto i datum
Beč, Austrija, 2.4.-7.4.2006

Vrsta sudjelovanja
Poster

Vrsta recenzije
Nije recenziran

Ključne riječi
Cotingency table; quantitive precipitation forecast

Sažetak
A novel interpretation of contingency table that s used in forecast verification is proposed. The measure of association in 2 x 2 (K x K) contingency tables known as tetrachoric (polychoric) correlation coefficient is recalled. These measures rely on two assumptions which are reexamined: 1) there exist continuous latent variables underlying the contingency table and 2) joint distribution of corresponding standard normal deviates is bivariate normal. It is shown that, in practice, the tetrachoric (polychoric) correlation coefficient is an estimate of Pearson correlation coefficient between the latent variables. Consequently, these measures do not depend on bias nor on marginal frequencies of the table. The information carried by the contingency table is naturally and conveniently divided between association, bias and probability of the event, which may be used to asses quality of various forecasting systems and also compare forecasts produced by a single system over different climatological regions. In case of K x K tables, the eventual reduction in dimensionality from K*K to 2K is obtained. The theoretical findings are illustrated through analysis of real--life, 6 x 6 contingency tables on verification of quantitative precipitation forecasts.

Izvorni jezik
Engleski

Znanstvena područja
Geologija



POVEZANOST RADA


Projekt / tema
0119330

Ustanove
Prirodoslovno-matematički fakultet, Zagreb