## New Cambridge Statistical TablesThe latest edition of this very successful and authoritative set of tables, first published in 1984, still benefits from clear typesetting, which makes the figures easy to read and use, but has been improved by the addition of new tables. These give Bayesian confidence limits for the binomial and Poisson distributions, and for the square of the multiple correlation coefficient, which have not been previously available. The intervals are the shortest possible, consistent with the requirement on probability. The authors have taken great care to ensure the clarity of the tables and how their values may be used; the tables are easily interpolated. The book contains all the tables likely to be required for elementary statistical methods in the social, business and natural sciences, and will be an essential aid for teachers, users and students in these areas. |

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### Contents

PREFACES page | 3 |

The Binomial Distribution Function | 4 |

The Poisson Distribution Function | 24 |

Binomial Coefficients | 33 |

The Normal Distribution Function | 34 |

Percentage Points of the Normal Distribution | 35 |

Logarithms of Factorials | 36 |

The Distribution Function | 37 |

Percentage Points of the Distribution of the Number of Runs | 60 |

Upper Percentage Points of the TwoSample KolmogorovSmirnov Distribution | 62 |

Percentage Points of Wilcoxons SignedRank Distribution | 65 |

Percentage Points of the MannWhitney Distribution | 66 |

22A Expected Values of Normal Order Statistics Normal Scores | 68 |

22B Sums of Squares of Normal Scores | 70 |

Upper Percentage Points of Friedmans Distribution | 71 |

Upper Percentage Points of the KruskalWallis Distribution | 72 |

Percentage Points of the Distribution | 40 |

The tDistribution Function | 42 |

Percentage Points of the Distribution | 45 |

Percentage Points of Behrens Distribution | 46 |

Percentage Points of the FDistribution | 50 |

Percentage Points of the Correlation Coefficient r when p 0 | 56 |

Percentage Points of Spearmans S | 57 |

The zTransformation of the Correlation Coefficient | 58 |

The Inverse of the zTransformation | 59 |

Hypergeometric Probabilities | 74 |

Random Sampling Numbers | 78 |

Random Normal Deviates | 79 |

Bayesian Confidence Limits for a Binomial Parameter | 80 |

Bayesian Confidence Limits for a Poisson Mean | 88 |

Bayesian Confidence Limits for the Square of a Multiple Correlation Coefficient | 90 |

93 | |

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### Common terms and phrases

24 for explanation 2P per cent American Mathematical Society approximately normally distributed binomial coefficients binomially distributed calculated Cent 95 cent level cent points credibility interval dash indicates degrees of freedom distri distributed with mean distributed with zero distribution function dp the confidence empirical distribution function equal to P/ioo formula freedom respectively function see Table function tabulated gives percentage points harmonic interpolation i•ooo independent random variables Kendall•s KOLMOGOROV-SMIRNOV DISTRIBUTION Level Per Cent Linear interpolation lower percentage points mean and unit MULTIPLE CORRELATION COEFFICIENT null hypothesis NUMBER OF RUNS o•io o•oi o•oo o•oooo OOI2 ooo1 OOO2 OOOi ORDER STATISTICS PARAMETER Confidence Level points are given points xl(P Poisson distribution posterior probability probabilities that F provided by rejecting random sample required property right of tabulated samples of sizes shape applies Spearman•s symmetric about zero table gives percentage tabulated values unit variance UPPER PERCENTAGE POINTS v2 degrees variables distributed Wilcoxon zero mean

### References to this book

Essential Environmental Science: Methods & Techniques Simon Watts,Lyndsay Halliwell No preview available - 1996 |