TY - JOUR
T1 - Angular transformation - Another effect of different sample sizes
AU - Kasuya, Eiiti
N1 - Funding Information:
I would like to thank M. Kinoshita and K. Ohashi for their critical reading of early drafts of the manuscript. Thanks are also due to S. Kobayashi, T. Kubo, and K. Yamamura for discussion. This study was in part supported by Grant-in-Aid (No. 14654156, 90204734 and 12304048) for Scientific Research from the Ministry of Education, Science, Sports and Culture.
PY - 2004/3
Y1 - 2004/3
N2 - Angular transformation has been widely used to analyze proportions or percentages in ecology. A new type of artifact can arise by applying angular transformation to proportions or percentages. Proportions with the same mean or expected value, but with different sample sizes (denominator of proportions), have different means or expected values after this transformation. Overdispersion causes a larger deviation of the expected value after the transformation. Angular transformation should be avoided unless the sample size (denominator of proportions) is the same for all the proportions analyzed.
AB - Angular transformation has been widely used to analyze proportions or percentages in ecology. A new type of artifact can arise by applying angular transformation to proportions or percentages. Proportions with the same mean or expected value, but with different sample sizes (denominator of proportions), have different means or expected values after this transformation. Overdispersion causes a larger deviation of the expected value after the transformation. Angular transformation should be avoided unless the sample size (denominator of proportions) is the same for all the proportions analyzed.
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U2 - 10.1111/j.1440-1703.2003.00620.x
DO - 10.1111/j.1440-1703.2003.00620.x
M3 - Article
AN - SCOPUS:1942487238
SN - 0912-3814
VL - 19
SP - 165
EP - 167
JO - Ecological Research
JF - Ecological Research
IS - 2
ER -