Note On Correlation Coefficients Derived from Cumulative Distributions with Reference to Glaciological Studies
Abstract In many areas of glaciology, cumulative degree days, either positive or negative, are regressed against another cumulative value, such as ablation or lake-ice growth. Very strong functional relationships are frequently found with high correlation coefficients. This note shows that, if pairs...
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Language: | English |
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Cambridge University Press (CUP)
1971
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Online Access: | http://dx.doi.org/10.1017/s0022143000013101 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000013101 |
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crcambridgeupr:10.1017/s0022143000013101 2024-03-03T08:46:09+00:00 Note On Correlation Coefficients Derived from Cumulative Distributions with Reference to Glaciological Studies Andrews, J.T. Faiiey, B.D. Alford, D. 1971 http://dx.doi.org/10.1017/s0022143000013101 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000013101 en eng Cambridge University Press (CUP) Journal of Glaciology volume 10, issue 58, page 145-147 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1971 crcambridgeupr https://doi.org/10.1017/s0022143000013101 2024-02-08T08:40:37Z Abstract In many areas of glaciology, cumulative degree days, either positive or negative, are regressed against another cumulative value, such as ablation or lake-ice growth. Very strong functional relationships are frequently found with high correlation coefficients. This note shows that, if pairs of random numbers are cumulated, the resulting correlation coefficients are extremely high with a Fisher transformed mean of r = 0.986 and standard error of ±0.001 (based on 50 individual computations of r which in turn were based on 20 cumulated pairs of random numbers between 0 and 99). These results indicate that caution must be exercised in the physical interpretation of data of this kind. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Journal of Glaciology 10 58 145 147 |
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Open Polar |
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Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Andrews, J.T. Faiiey, B.D. Alford, D. Note On Correlation Coefficients Derived from Cumulative Distributions with Reference to Glaciological Studies |
topic_facet |
Earth-Surface Processes |
description |
Abstract In many areas of glaciology, cumulative degree days, either positive or negative, are regressed against another cumulative value, such as ablation or lake-ice growth. Very strong functional relationships are frequently found with high correlation coefficients. This note shows that, if pairs of random numbers are cumulated, the resulting correlation coefficients are extremely high with a Fisher transformed mean of r = 0.986 and standard error of ±0.001 (based on 50 individual computations of r which in turn were based on 20 cumulated pairs of random numbers between 0 and 99). These results indicate that caution must be exercised in the physical interpretation of data of this kind. |
format |
Article in Journal/Newspaper |
author |
Andrews, J.T. Faiiey, B.D. Alford, D. |
author_facet |
Andrews, J.T. Faiiey, B.D. Alford, D. |
author_sort |
Andrews, J.T. |
title |
Note On Correlation Coefficients Derived from Cumulative Distributions with Reference to Glaciological Studies |
title_short |
Note On Correlation Coefficients Derived from Cumulative Distributions with Reference to Glaciological Studies |
title_full |
Note On Correlation Coefficients Derived from Cumulative Distributions with Reference to Glaciological Studies |
title_fullStr |
Note On Correlation Coefficients Derived from Cumulative Distributions with Reference to Glaciological Studies |
title_full_unstemmed |
Note On Correlation Coefficients Derived from Cumulative Distributions with Reference to Glaciological Studies |
title_sort |
note on correlation coefficients derived from cumulative distributions with reference to glaciological studies |
publisher |
Cambridge University Press (CUP) |
publishDate |
1971 |
url |
http://dx.doi.org/10.1017/s0022143000013101 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000013101 |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_source |
Journal of Glaciology volume 10, issue 58, page 145-147 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000013101 |
container_title |
Journal of Glaciology |
container_volume |
10 |
container_issue |
58 |
container_start_page |
145 |
op_container_end_page |
147 |
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1792502097733746688 |