CONTENTS. xxxlx 



CHAPTER XV. 



ANALYSIS OF QTTANTITATTVE PHENOMENA. 

 SECTION PA'JF. 



1. Analysis of Quantitative Phenomena 33.'j 



2. Illustrations of tlie Complication of Effects 33t) 



3. Jlethods of Eliminatincr Error 339 



4. Method of Avoidance of Error 340 



5. Differential Method 344 



6. Method of Correction 346 



7. Meth.;d of Compensation 350 



8. Method of Reversal 354 



CHAPTER XVI. 



THE METHOD OF MKAXS. 



1. The Method of Means 357 



'.1. Several Uses of tlie Mean Result 359 



3. The Mean and the Average 360 



4. On the Average or Fictitious Mean 363 



5. The Precise Mean Result 365 



<>. Determination of the Zero Point 368 



7. Determination of Maximum Points 371 



CHAPTER XVII. 



THE LAW OF EKROU. 



1. The Law of Error 374 



2. Establishment of the Law of Error 375 



3. Hersclad's Geometrical I'roof 377 



4. Laplace's and Quetelet's I'roof of the Law 378 



5. Logical Origin of the Law of Error 383 



6. Verification of the Law of Error 383 



7. The Piobablc Mean Result 385 



8. The Probable Error of Results 386 



9. Rejection of the Mean Result 389 



10. Method of Least Squares S. 6 



n. Works ujion the Theory of Probability 394 



12. Detection of Con.staut Errors 396 



