## Statistics in SpectroscopyStatistics in Spectroscopy, Second Edition, is an expanded and updated version of the original title. The aim of the book is to bridge the gap between the average chemist/spectroscopist and the study of statistics. The book introduces the novice reader to the ideas and concepts of statistics and uses spectroscopic examples to show how these concepts are applied. Several key statistical concepts are introduced through the use of computer programs.Serves as a primer for all chemists who |

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### Table des matières

1 | |

7 | |

17 | |

Chapter 4 Degrees of Freedom | 25 |

Chapter 5 Introduction to Distributions and Probability Sampling | 35 |

Chapter 6 The Normal Distribution | 47 |

Chapter 7 Alternative Ways to Calculate Standard Deviation | 59 |

Chapter 8 The Central Limit Theorem | 71 |

Chapter 21 How to Count | 175 |

Chapter 22 And Still Counting | 181 |

Chapter 23 Contingency Tables | 187 |

Random? | 195 |

Chapter 25 The F Statistic | 205 |

Introduction to Analysis of Variance | 213 |

Chapter 27 Analysis of Variance and Statistical Design of Experiments | 223 |

Chapter 28 Crossed and Nested Experiments | 233 |

Chapter 9 Synthesis of Variance | 81 |

Chapter 10 Where Are We and Where Are We Going? | 91 |

Chapter 11 More and Different Statistics | 97 |

Chapter 12 The T Statistic | 107 |

Chapter 13 Distribution of Means | 117 |

Chapter 14 One and TwoTailed Tests | 125 |

Chapter 15 Philosophical Interlude | 135 |

Chapter 16 Biased and Unbiased Estimators | 141 |

Chapter 17 The Variance of Variance | 147 |

Chapter 18 Hypothesis Testing of ChiSquare | 155 |

Chapter 19 More Hypothesis Testing | 161 |

Chapter 20 Statistical Inferences | 167 |

Chapter 29 Miscellaneous Considerations Regarding Analysis of Variance | 247 |

Chapter 30 Pitfalls of Statistics | 255 |

Chapter 31 Pitfalls of Statistics Continued | 263 |

Chapter 32 Calibration in Spectroscopy | 271 |

Linear Regression as a Statistical Technique | 279 |

Error Sources in Calibration | 287 |

Selecting the Calibration Samples | 293 |

Developing the Calibration Model | 297 |

Auxiliary Statistics for the Calibration Model | 303 |

Chapter 38 The Beginning | 313 |

319 | |

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### Expressions et termes fréquents

actually algorithm analysis of variance analyte ANOVA ANOVA table apply assumption average binomial binomial distribution calculated calibration equation calibration line calibration model calibration set central limit theorem Chapter characteristics chemometric coefficient column computed concentration concepts confidence interval confidence level confidence limit corresponding critical values data points defined degrees of freedom describe determine discussion effect equal error sources example expected value experiment experimental design F statistic fact factors Figure formula given important included instrument integers Intentionally Left Blank mathematical mean square multivariate noise level Normal distribution null hypothesis number of degrees outlier parameter performing hypothesis tests population mean population value probability levels problem properties question random numbers random sample range reader readings regression relationship represents residuals sample mean science of statistics selected situation specified spectra spectroscopy standard deviation statisticians sum of squares techniques term test statistic variability variation wavelength wavenumbers zero