The Theory

of Errors and

Method of

Least Squares

of Errors and

Method of

Least Squares

Then introducing the notion of a law of facility Of error give precise meaning to the phrase most probable value, cannot do better than to adopt that law Of facility in accord ance with which the arithmetical mean is the most probable value. After deriving this law and showing that it leads to the principle of least squares, he says This principle, which in all applications of mathematics to natural philosophy ad mits of very frequent use, ought everywhere to hold good as an axiom by the same right as that by which the arithmetical mean between several Observed values Of the same quantity is adopted as the most probable value. (art.

PIBN | 10316115 |

ISBN | 978-1-332-33913-6 |

ISBN (Hardcover) | 978-0-365-23423-4 |

Language | English |

Category | Statistics |

Pages | 204 |

Words | 38144 |

Vocabulary | 1445 |

A History of the

Mathematical Theory

of ProbabilityFrom the Time of Pascal

to That of Laplace

Mathematical Theory

of ProbabilityFrom the Time of Pascal

to That of Laplace

A First

Course in

Statistics

Course in

Statistics

Elements of

the Method of

Least Squares

the Method of

Least Squares

An Introduction

to Spherical

and Practical

Astronomy

to Spherical

and Practical

Astronomy

The

Combination of

Observations

Combination of

Observations

General Principles

of the Method

of Least SquaresWith Applications

of the Method

of Least SquaresWith Applications

A Treatise on

the Calculus

of Finite

Differences

the Calculus

of Finite

Differences

The Mathematical

Theory of

ProbabilitiesAnd Its Application to Frequency

Curves and Statistical Methods

Vol. 1

Theory of

ProbabilitiesAnd Its Application to Frequency

Curves and Statistical Methods

Vol. 1

Complex Roots

of Polynomial

Equations

of Polynomial

Equations

An Essay on the

Theory of the

Combination of

Observations

Theory of the

Combination of

Observations

Introduction

to Economic

Statistics

to Economic

Statistics

Introduction to

Mathematical

Statistics

Mathematical

Statistics

The Theory of

Measurements

Measurements

An

Introduction

to Mathematics

Introduction

to Mathematics

Primer of

Statistics

Statistics

Statistical

AveragesA Methodological Study

AveragesA Methodological Study

Theory of Errors

and Least SquaresA Textbook for College

Students, and Research Workers

and Least SquaresA Textbook for College

Students, and Research Workers

Frequency-Curves

and Correlation

and Correlation

The Theory

of Errors and

Method of

Least Squares

of Errors and

Method of

Least Squares

Graphical

Calculus

Calculus

Practical

Least

Squares

Least

Squares

A Text-Book on

the Method of

Least Squares

the Method of

Least Squares

An Explanation of the Observed

Irregularities in the Motion

of Uranus, on the Hypothesis

of Disturbances Caused

by a More Distant PlanetWith a Determination of the Mass, Orbit,

and Position of the Disturbing Body

Irregularities in the Motion

of Uranus, on the Hypothesis

of Disturbances Caused

by a More Distant PlanetWith a Determination of the Mass, Orbit,

and Position of the Disturbing Body

An Elementary Treatise

Upon the Method

of Least SquaresWith Numerical Examples

of Its Applications

Upon the Method

of Least SquaresWith Numerical Examples

of Its Applications

An Introduction to

Statistical MethodsA Textbook for College Students, a Manual

for Statisticians and Business Executives

Statistical MethodsA Textbook for College Students, a Manual

for Statisticians and Business Executives

Introduction

to QuaternionsWith Numerous Examples

to QuaternionsWith Numerous Examples

History, Theory,

and Technique

of StatisticsHistory of Statistics

Vol. 1

and Technique

of StatisticsHistory of Statistics

Vol. 1

Notes on

ObservationsBeing an Outline of the Methods Used for Determining, the

Meaning and Value of Quantitative Observations and Experiments

in Physics and Chemistry, and for Reducing the Results Obtained

ObservationsBeing an Outline of the Methods Used for Determining, the

Meaning and Value of Quantitative Observations and Experiments

in Physics and Chemistry, and for Reducing the Results Obtained

The Figure

of the EarthAn Introduction to Geodesy

of the EarthAn Introduction to Geodesy

Hyperbolic

Functions

Functions

A Treatise on

Differential

EquationsSupplementary Volume

Differential

EquationsSupplementary Volume

Solid

Geometry

Geometry

Harmonic

Functions

Functions

Statistics

and Their

Application

to Commerce

and Their

Application

to Commerce

Higher Mathematics

for Students of

Chemistry and PhysicsWith Special Reference

to Practical Work

for Students of

Chemistry and PhysicsWith Special Reference

to Practical Work

Theoretical Astronomy

Relating to the Motions

of the Heavenly BodiesRevolving Around the Sun in Accordance

With the Law of Universal Gravitation

Relating to the Motions

of the Heavenly BodiesRevolving Around the Sun in Accordance

With the Law of Universal Gravitation

An Introduction

to the Theory

of Statistics

to the Theory

of Statistics

The Form of the

Learning Curves

for Memory

Learning Curves

for Memory

Indian

Mathematics

Mathematics

Theory of

MeasurementsA Manual for Physics Students

MeasurementsA Manual for Physics Students

Natural

Inheritance

Inheritance

Advanced

Course in

Algebra

Course in

Algebra

Risk and

Return: A

Paradox?

Return: A

Paradox?

GeodesyApplication of the Theory of Least Squares

to the Adjustment of Triangulation

to the Adjustment of Triangulation

A Treatise

on Practical

AstronomyAs Applied to Geodesy and Navigation

on Practical

AstronomyAs Applied to Geodesy and Navigation

Elements of

Statistics

Statistics

Skew Frequency

Curves in Biology

and Statistics2nd Paper

Curves in Biology

and Statistics2nd Paper

Measurement

Evaluation

Evaluation

Learning and

RetentionA Comparison of Three

Experimental Procedures

RetentionA Comparison of Three

Experimental Procedures

On the Foundations

of Statistical

Inference, IBinary Experiments

of Statistical

Inference, IBinary Experiments

Theory of

Functions of a

Complex Variable

Functions of a

Complex Variable