CONTENTS 



CHAPTER XV. 



ANALYSIS OF QUANTITATIVE PHENOMENA. 

 SECTION PAGE 



1. Analysis of Quantitative Phenomena 335 



2. Illustrations of the Complication of fitted* 336 



3. Methods of Eliminating Error 339 



4. Method of Avoidance of Error 340 



5. Differential Method 344 



6. Method of Correction 346 



7. Method of Compensation 350 



8. Method of Reversal . ....,,-,- .354 



CHAPTER XVI. 



THE METHOD OF MEANS. 



1. The Method of Means 357 



'A. Several Uses of the Mean Result 359 



3. The Mean and the Average SCO 



4. On the Average or Fictitious Mean 363. 



5. The Precise Mean Result 365 



6. Determination of the Zero Point . 363 



7. Determination of Maximum Points . , 3/1 



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 a 



11. Works upon the Theory of Probability ... .... 394 



12. Detection of Constant Errors . . 396 



