The goodness of fit of regression formulae, and the distribution of regression coefficients

Fisher, R. A. 1922. The goodness of fit of regression formulae, and the distribution of regression coefficients. Journal of the Royal Statistical Society. 85 (4), pp. 597-612. https://doi.org/10.2307/2341124

Authors	Fisher, R. A.
Abstract	No abstract
Year of Publication	1922
Journal	Journal of the Royal Statistical Society
Journal citation	85 (4), pp. 597-612
Digital Object Identifier (DOI)	https://doi.org/10.2307/2341124
Open access	Published as non-open access
Publisher's version	Fisher-1922-The-goodness-of-fit-of-regression-f.pdf
Publisher	Royal Statistical Society
ISSN	0964-1998

Related outputs

R. A. Fisher and the last fifty years of statistical methodology

A - Papers appearing in refereed journals

Bartlett, M. S. and Fisher, R. A. 1965. R. A. Fisher and the last fifty years of statistical methodology. Journal Of The American Statistical Association. 60 (June), pp. 395-409.

New tables of Behrens' test of significance

A - Papers appearing in refereed journals

Fisher, R. A. and Healy, M. J. R. 1956. New tables of Behrens' test of significance. Journal of the Royal Statistical Society, Series B (Statistical Methodology). 18 (2), pp. 212-216.

Statistical methods and scientific induction

A - Papers appearing in refereed journals

Fisher, R. A. 1955. Statistical methods and scientific induction. Journal of the Royal Statistical Society, Series B (Statistical Methodology).

The relation between the number of species and the number of individuals in a random sample of an animal population

A - Papers appearing in refereed journals

Fisher, R. A., Corbet, A. S. and Williams, C. B. 1943. The relation between the number of species and the number of individuals in a random sample of an animal population. Journal of Animal Ecology. 12 (1), pp. 42-58. https://doi.org/10.2307/1411

On the construction of balanced incomplete block designs

A - Papers appearing in refereed journals

Bose. R. C. and Fisher, R. A. 1939. On the construction of balanced incomplete block designs. Annals of Eugenics. 9 (4), pp. 353-399. https://doi.org/10.1111/j.1469-1809.1939.tb02219.x

The statistical utilization of multiple measurements

A - Papers appearing in refereed journals

Fisher, R. A. 1938. The statistical utilization of multiple measurements. Annals of Eugenics. 8 (4), pp. 376-386. https://doi.org/10.1111/j.1469-1809.1938.tb02189.x

The use of multiple measurements in taxonomic problems.

A - Papers appearing in refereed journals

Fisher, R. A. 1936. The use of multiple measurements in taxonomic problems. Annals of Eugenics. 7 (2), pp. 179-188. https://doi.org/10.1111/j.1469-1809.1936.tb02137.x

The Effects of Rainfall and Temperature on Percolation through drain gauges

A - Papers appearing in refereed journals

Koshal, R. S. and Fisher, R. A. 1934. The Effects of Rainfall and Temperature on Percolation through drain gauges. The Journal of Agricultural Science. 24 (1), pp. 105-135. https://doi.org/10.1017/S0021859600012478

The 6×6 latin squares

A - Papers appearing in refereed journals

Fisher, R. A. and Yates, F. 1934. The 6×6 latin squares. Mathematical Proceedings Of The Cambridge Philosophical Society. 30 (4), pp. 492-507. https://doi.org/10.1017/S0305004100012731

Statistical tables

A - Papers appearing in refereed journals

Fisher, R. A. 1933. Statistical tables. Nature.

Selection in the production of the ever-sporting stocks

A - Papers appearing in refereed journals

Fisher, R. A. 1933. Selection in the production of the ever-sporting stocks. Annals of Botany. 47 (188), pp. 727-733.

On the evidence against the chemical induction of melanism in Lepidoptera

A - Papers appearing in refereed journals

Fisher, R. A. 1933. On the evidence against the chemical induction of melanism in Lepidoptera. Proceedings of the Royal Society of London Series B Biological Sciences. 112 (778), pp. 407-416. https://doi.org/10.1098/rspb.1933.0018

The concepts of inverse probability and fiducial probability referring to unknown parameters

A - Papers appearing in refereed journals

Fisher, R. A. 1933. The concepts of inverse probability and fiducial probability referring to unknown parameters. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 139 (838), pp. 343-348.

Number of Mendelian factors in quantitative inheritance

A - Papers appearing in refereed journals

Fisher, R. A. 1933. Number of Mendelian factors in quantitative inheritance. Nature. 131, p. 400. https://doi.org/10.1038/131400a0

Inheritance of Acquired Characters

A - Papers appearing in refereed journals

Fisher, R. A. 1932. Inheritance of Acquired Characters. Nature. 130, p. 579. https://doi.org/10.1038/130579a0

A new series of allelomorphs in mice

A - Papers appearing in refereed journals

Dunn, L. C. and Fisher, R. A. 1932. A new series of allelomorphs in mice. Nature. 139 (3247), p. 130.

The Technique of Field Experiments Rothamsted conferences on present day problems on crop production being the report of a conference held at Rothamsted on XX 1932 Rothamsted Conference RC No 13

E - Books edited/written by staff member, alone/with others

Russell, E. J., Fisher, R. A., Wishart, J., Stapledon, R. G., Armstrong, S. F., Lewis, A. H., Manson, A.D., Procter, J., Hoblyn, T. N., Garner, H. V., Watson, D. J. and Carroll, T. H. J. Russell, E. W. (ed.) 1932. The Technique of Field Experiments Rothamsted conferences on present day problems on crop production being the report of a conference held at Rothamsted on XX 1932 Rothamsted Conference RC No 13 . Harpenden Rothamsted Research.

The evolutionary modification of genetic phenomena

A - Papers appearing in refereed journals

Fisher, R. A. 1932. The evolutionary modification of genetic phenomena. Proceedings 6th International Congress of Genetics. 1, pp. 165-172.

The bearing of genetics on theories of evolution

A - Papers appearing in refereed journals

Fisher, R. A. 1932. The bearing of genetics on theories of evolution. Science Progress in the Twentieth Century (1919-1933). 27 (106), pp. 273-287.

The derivation of the pattern formulae of two-way partitions from those of simpler patterns

A - Papers appearing in refereed journals

Fisher, R. A. and Wishart, J. 1932. The derivation of the pattern formulae of two-way partitions from those of simpler patterns. Proceedings Of The London Mathematical Society. s2-33 (1), pp. 195-208. https://doi.org/10.1112/plms/s2-33.1.195

Inverse probability and the use of likelihood

A - Papers appearing in refereed journals

Fisher, R. A. 1932. Inverse probability and the use of likelihood. Mathematical Proceedings Of The Cambridge Philosophical Society. 28 (3), pp. 257-261. https://doi.org/10.1017/S0305004100010094

The genetical interpretation of statistics of the third degree in the study of quantitative inheritance

A - Papers appearing in refereed journals

Fisher, R. A., Immer, F. R. and Tedin, O. 1932. The genetical interpretation of statistics of the third degree in the study of quantitative inheritance. Genetics. 17 (2), pp. 107-124.

Pasteurised and Raw Milk

A - Papers appearing in refereed journals

Fisher, R. A. and Bartlett, S. 1931. Pasteurised and Raw Milk. Nature. 127, pp. 591-592. https://doi.org/10.1038/127591c0

XVII—The distribution of gene ratios for rare mutations

A - Papers appearing in refereed journals

Fisher, R. A. 1931. XVII—The distribution of gene ratios for rare mutations. Proceedings of the Royal Society of Edinburgh. 50, pp. 204-219. https://doi.org/10.1017/S0370164600044886

The evolution of dominance

A - Papers appearing in refereed journals

Fisher, R. A. 1931. The evolution of dominance. Biological Reviews of the Cambridge Philosophical Society. 6 (4), pp. 345-368. https://doi.org/10.1111/j.1469-185X.1931.tb01030.x

The evolution of dominance in certain polymorphic species

A - Papers appearing in refereed journals

Fisher, R. A. 1930. The evolution of dominance in certain polymorphic species. The American Naturalist. 64 (694), pp. 385-406. https://doi.org/10.1086/280325

Moments and product moments of sampling distributions

A - Papers appearing in refereed journals

Fisher, R. A. 1930. Moments and product moments of sampling distributions. Proceedings Of The London Mathematical Society. s2-30 (1), pp. 199-238. https://doi.org/10.1112/plms/s2-30.1.199

The moments of the distribution for normal samples of measures of departure from normality

A - Papers appearing in refereed journals

Fisher, R. A. 1930. The moments of the distribution for normal samples of measures of departure from normality. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 130 (812), pp. 16-28.

Biometry and evolution

A - Papers appearing in refereed journals

Fisher, R. A. 1930. Biometry and evolution. Nature. 126, p. 246. https://doi.org/10.1038/126246a0

Mortality amongst plants and its bearing on natural selection

A - Papers appearing in refereed journals

Fisher, R. A. 1930. Mortality amongst plants and its bearing on natural selection. Nature. 125, p. 972. https://doi.org/10.1038/125972a0

Inverse probability

A - Papers appearing in refereed journals

Fisher, R. A. 1930. Inverse probability. Mathematical Proceedings Of The Cambridge Philosophical Society. 26 (4), pp. 528-535. https://doi.org/10.1017/S0305004100016297681

The arrangement of field experiments and the statistical reduction of the results

G - Articles in popular magazines and other technical publications

Fisher, R. A. and Wishart, J. 1930. The arrangement of field experiments and the statistical reduction of the results. https://doi.org/10.23637/rothamsted.8v20y

The evolution of dominance reply to Professor Sewall Wright

A - Papers appearing in refereed journals

Fisher, R. A. 1929. The evolution of dominance reply to Professor Sewall Wright. The American Naturalist. 63 (689), pp. 553-556. https://doi.org/10.1086/280289

Population and depopulation

A - Papers appearing in refereed journals

Fisher, R. A. 1929. Population and depopulation. Nature. 123, pp. 357-358. https://doi.org/10.1038/123357a0

The over-production of food

A - Papers appearing in refereed journals

Fisher, R. A. 1929. The over-production of food. Realist. 1, pp. 45-60.

The variability of species in the Lepidoptera, with reference to abundance and sex

A - Papers appearing in refereed journals

Fisher, R. A. and Ford, E. B. 1929. The variability of species in the Lepidoptera, with reference to abundance and sex. Ecological Entomology. 76 (2), pp. 367-384. https://doi.org/10.1111/j.1365-2311.1929.tb01411.x

Tests of significance in harmonic analysis

A - Papers appearing in refereed journals

Fisher, R. A. 1929. Tests of significance in harmonic analysis. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 125 (796), pp. 54-59. https://doi.org/10.1098/rspa.1929.0151

Studies in crop variation: VI. Experiments on the response of the potato to potash and nitrogen

A - Papers appearing in refereed journals

Eden, T. and Fisher, R. A. 1929. Studies in crop variation: VI. Experiments on the response of the potato to potash and nitrogen. The Journal of Agricultural Science. 19 (2), pp. 201-213. https://doi.org/10.1017/S0021859600011254

The sieve of Eratosthenes

A - Papers appearing in refereed journals

Fisher, R. A. 1929. The sieve of Eratosthenes. The Mathematical Gazette. 14 (204), pp. 564-566. https://doi.org/10.2307/3607073

A preliminary note on the effect of sodium silicate in increasing the yield of barley

A - Papers appearing in refereed journals

Fisher, R. A. 1929. A preliminary note on the effect of sodium silicate in increasing the yield of barley. The Journal of Agricultural Science. 19, pp. 132-139.

Maximum-and Minimum-Correlation Tables in Comparative Climatology

A - Papers appearing in refereed journals

Fisher, R. A. and Hoblyn, T. N. 1928. Maximum-and Minimum-Correlation Tables in Comparative Climatology. Geografiska Annaler. 10 (3), pp. 267-281. https://doi.org/10.1080/20014422.1928.11880484

The possible modification of the response of the wild type to recurrent mutations

A - Papers appearing in refereed journals

Fisher, R. A. 1928. The possible modification of the response of the wild type to recurrent mutations. The American Naturalist. 62 (679), pp. 115-126. https://doi.org/10.1086/280193

Two further notes on the origin of dominance

A - Papers appearing in refereed journals

Fisher, R. A. 1928. Two further notes on the origin of dominance. The American Naturalist. 62 (683), pp. 571-574. https://doi.org/10.1086/280234

The general sampling distribution of the multiple correlation coefficient

A - Papers appearing in refereed journals

Fisher, R. A. 1928. The general sampling distribution of the multiple correlation coefficient. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 121 (788), pp. 654-673. https://doi.org/10.1098/rspa.1928.0224

Triplet children in Great Britain and Ireland

A - Papers appearing in refereed journals

Fisher, R. A. 1928. Triplet children in Great Britain and Ireland. Proceedings of the Royal Society of London Series B Biological Sciences. 102 (717), pp. 286-311. https://doi.org/10.1098/rspb.1928.0005

Limiting forms of the frequency distribution of the largest or smallest member of a sample

A - Papers appearing in refereed journals

Fisher, R. A. and Tippett, L. H. C. 1928. Limiting forms of the frequency distribution of the largest or smallest member of a sample. Mathematical Proceedings Of The Cambridge Philosophical Society. 24 (2), pp. 180-190. https://doi.org/10.1017/S0305004100015681

The estimation of linkage from the offspring of selfed heterozygotes

A - Papers appearing in refereed journals

Fisher, R. A. and Balmukand, B. 1928. The estimation of linkage from the offspring of selfed heterozygotes. Journal of Genetics. 20 (1), pp. 79-92. https://doi.org/10.1007/bf02983317

Further note on the capillary forces in an ideal soil

A - Papers appearing in refereed journals

Fisher, R. A. 1928. Further note on the capillary forces in an ideal soil. The Journal of Agricultural Science. 18 (3), pp. 406-410. https://doi.org/10.1017/S0021859600019432

On the Existence of Daily Changes in the Bacterial Numbers in American Soil

A - Papers appearing in refereed journals

Thornton, H. G. and Fisher, R. A. 1927. On the Existence of Daily Changes in the Bacterial Numbers in American Soil. Soil Science. 23 (4), pp. 253-259.

On the distribution of the error of an interpolated value, and on the construction of tables

A - Papers appearing in refereed journals

Fisher, R. A. and Wishart, J. 1927. On the distribution of the error of an interpolated value, and on the construction of tables. Mathematical Proceedings Of The Cambridge Philosophical Society. 23 (8), pp. 912-921. https://doi.org/10.1017/S0305004100013785

On some objections to mimicry theory; statistical and genetic

A - Papers appearing in refereed journals

Fisher, R. A. 1927. On some objections to mimicry theory; statistical and genetic. Transactions of the Royal Entomological Society of London. 75 (2), pp. 269-278. https://doi.org/10.1111/j.1365-2311.1927.tb00074.x

Studies in crop variation: IV. The experimental determination of the value of top dressings with cereals

A - Papers appearing in refereed journals

Eden, T. and Fisher, R. A. 1927. Studies in crop variation: IV. The experimental determination of the value of top dressings with cereals. The Journal of Agricultural Science. 17 (4), pp. 548-562. https://doi.org/10.1017/S0021859600018827

The Resemblance between Twins, a Statistical Examination of Lauterbach's Measurements Correction

A - Papers appearing in refereed journals

Fisher, R. A. 1926. The Resemblance between Twins, a Statistical Examination of Lauterbach's Measurements Correction. 11 (1), p. 83.

Variability of Species

A - Papers appearing in refereed journals

Fisher, R. A. and Ford, E. B. 1926. Variability of Species. Nature. 118, p. 515. https://doi.org/10.1038/118515a0

On the capillary forces in an ideal soil; correction of formulae given by W. B. Haines

A - Papers appearing in refereed journals

Fisher, R. A. 1926. On the capillary forces in an ideal soil; correction of formulae given by W. B. Haines. The Journal of Agricultural Science. 16 (3), pp. 492-505. https://doi.org/10.1017/S0021859600007838

Bayes' theorem and the fourfold table

A - Papers appearing in refereed journals

Fisher, R. A. 1926. Bayes' theorem and the fourfold table. Eugenics Review. 18 (1), pp. 32-33.

The arrangement of field experiments

A - Papers appearing in refereed journals

Fisher, R. A. 1926. The arrangement of field experiments. Journal of the Ministry of Agriculture. 33, pp. 503-515. https://doi.org/10.23637/rothamsted.8v61q

XI.—The Theory of the Mechanical Analysis of Sediments by means of the Automatic Balance

A - Papers appearing in refereed journals

Fisher, R. A. and Oden, S. 1925. XI.—The Theory of the Mechanical Analysis of Sediments by means of the Automatic Balance. Proceedings - Royal Society of Edinburgh. 44, pp. 98-115. https://doi.org/10.1017/S0370164600020836

Statistical tests of agreement between observation and hypothesis

A - Papers appearing in refereed journals

Fisher, R. A. 1925. Statistical tests of agreement between observation and hypothesis. Economica. 8, pp. 139-147. https://doi.org/10.2307/2548482

Applications of Student's distribution New tables for testing the significance of observations Expansion of student's integral in powers of n-1

A - Papers appearing in refereed journals

Fisher, R. A. 1925. Applications of Student's distribution New tables for testing the significance of observations Expansion of student's integral in powers of n-1. Metron. 5, pp. 90-104.

Statistical methods for research workers

E - Books edited/written by staff member, alone/with others

Fisher, R. A. 1925. Statistical methods for research workers. Oliver and Boyd.

Theory of statistical estimation

A - Papers appearing in refereed journals

Fisher, R. A. 1925. Theory of statistical estimation. Mathematical Proceedings Of The Cambridge Philosophical Society. 22 (5), pp. 700-725. https://doi.org/10.1017/S0305004100009580

The resemblance between twins, a statistical examination of Lauterbach's measurements

A - Papers appearing in refereed journals

Fisher, R. A. 1925. The resemblance between twins, a statistical examination of Lauterbach's measurements. Genetics. 10 (6), pp. 569-579.

Note on the numerical evaluation of a Bessel function derivative

A - Papers appearing in refereed journals

Ansell, P. R. and Fisher, R. A. 1925. Note on the numerical evaluation of a Bessel function derivative. Proceedings Of The London Mathematical Society. 24, pp. liv-lvi.

The influence of rainfall on the yield of wheat at Rothamsted

A - Papers appearing in refereed journals

Fisher, R. A. 1925. The influence of rainfall on the yield of wheat at Rothamsted. Philosophical Transactions of the Royal Society B-Biological Sciences. 213 (402-410), pp. 89-142. https://doi.org/10.1098/rstb.1925.0003

On a distribution yielding the error functions of several well known statistics

A - Papers appearing in refereed journals

Fisher, R. A. 1924. On a distribution yielding the error functions of several well known statistics. Proceedings International Mathematical Congress, Toronto. 2, pp. 805-813.

The distribution of the partial correlation coefficient

A - Papers appearing in refereed journals

Fisher, R. A. 1924. The distribution of the partial correlation coefficient. Metron. 3, pp. 329-332.

The conditions under which X squared measures the discrepancy between observation and hypothesis

A - Papers appearing in refereed journals

Fisher, R. A. 1924. The conditions under which X squared measures the discrepancy between observation and hypothesis. Journal of the Royal Statistical Society. 87 (3), pp. 442-450.

Note on Dr. Burnside's recent paper on errors of observation

A - Papers appearing in refereed journals

Fisher, R. A. 1923. Note on Dr. Burnside's recent paper on errors of observation. Proceedings of the Cambridge Philosophical Society. 21, pp. 655-658.

Studies in crop variation. II. The manurial response of different potato varieties

A - Papers appearing in refereed journals

Fisher, R. A. and Mackenzie, W. A. 1923. Studies in crop variation. II. The manurial response of different potato varieties. The Journal of Agricultural Science. 13 (3), pp. 311-320. https://doi.org/10.1017/S0021859600003592

Statistical consideractions involved in Tables I and II of Biological studies of aphis rum wis linn. Reproduction on varieties of Vicia Faba

A - Papers appearing in refereed journals

Davidson, J. and Fisher, R. A. 1922. Statistical consideractions involved in Tables I and II of Biological studies of aphis rum wis linn. Reproduction on varieties of Vicia Faba. Annals of Applied Biology - AAB. 9 (2), pp. 142-145. https://doi.org/10.1111/j.1744-7348.1922.tb05944.x

Biological studies of aphis rum wis linn. Reproduction on varieties of Vicia Faba

A - Papers appearing in refereed journals

Davidson, J. and Fisher, R. A. 1922. Biological studies of aphis rum wis linn. Reproduction on varieties of Vicia Faba. Annals of Applied Biology - AAB. 9 (2), pp. 135-142. https://doi.org/10.1111/j.1744-7348.1922.tb05943.x

On the Interpretation of X squared from Contingency Tables, and the Calculation of P

A - Papers appearing in refereed journals

Fisher, R. A. 1922. On the Interpretation of X squared from Contingency Tables, and the Calculation of P. Journal of the Royal Statistical Society. 85 (1), pp. 87-94. https://doi.org/10.2307/2340521

The correlation of weekly rainfall

A - Papers appearing in refereed journals

Fisher, R. A. and Mackenzie, W. A. 1922. The correlation of weekly rainfall. Quarterly Journal of the Royal Meteorological Society. 48 (203), pp. 234-245. https://doi.org/10.1002/qj.49704820305

The accuracy of the plating method of estimating the density of bacterial populations: with particular reference to the use of Thornton's agar medium with soil samples

A - Papers appearing in refereed journals

Fisher, R. A., Thornton, H. G. and Mackenzie, W. A. 1922. The accuracy of the plating method of estimating the density of bacterial populations: with particular reference to the use of Thornton's agar medium with soil samples. Annals of Applied Biology - AAB. 9 (3‐4), pp. 325-359. https://doi.org/10.1111/j.1744-7348.1922.tb05962.x

On the mathematical foundations of theoretical statistics

A - Papers appearing in refereed journals

Fisher, R. A. 1922. On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences. 222 (594-604), pp. 309-368. https://doi.org/10.1098/rsta.1922.0009

Studies in crop variation. 1. An examination of the yield of dressed grain from Broadbalk

A - Papers appearing in refereed journals

Fisher, R. A. 1921. Studies in crop variation. 1. An examination of the yield of dressed grain from Broadbalk. The Journal of Agricultural Science. 11 (2), pp. 107-135. https://doi.org/10.1017/S0021859600003750

Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population

A - Papers appearing in refereed journals

Fisher, R. A. 1915. Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population. Biometrika. 10 (4), pp. 507-521. https://doi.org/10.2307/2331838