CONTENTS. 



CHAPTER XV. 



ANALYSIS OF QUANTITATIVE PHENOMENA. 

 SECTION PAGK 



1. Analysis of Quantitative Phenomena . . . 



2. Illustrations of the Complication ot Effects 



3. Methods of Eliminating Error 



4. Method of A voidance of Error ... 



6. Differential Method . . . . T . . 



6. Method of Correction 



7. Method of Compensation .350 



8. Method of Reversal . . 354 



CHAPTER XVI. 



THE METHOD OK MEANS. 



1. The Method of Means 357 



'A, Several Uses of the Mean Result 359 



3. The Mean and the Average 360 



4. On the Average or Fictitious Mean 363 



5. The Precise Mean Result 365 



6. Determination of the Zero Point . 368 



7. Determination of Maximum Points . . 8/1 



CHAPTER XVII. 



THE LAW OF ERROR. 



1. The Law of Error . , .374 



2. Establishment of the Law of Error 375 



3. Herschel's Geometrical Proof . 377 



4. Laplace's and Quetelet's Proof of the Law . 378 



5. Logical Origin of the Law of Error . 383 



6. Verification of the Law of Error 383 



7. The Probable Mean Result 385 



8. The Probable Error of Results 386 



9. Rejection of the Mean Result 389 



10. Method of Least Squares ,',' . 3/3 



11. Works upon the Theory of Probability ... . '.;,.. . .394 



12. Detection of Constant Errors . ... 396 



