CONTENTS. 



Prologue, ni-vii. 

 PART FIRST. 



THE ERRORS OF PRECISION IN ATOMIC WEIGHT 

 DETERMINATIONS. 



I. GENERAL INTRODUCTION: 



The Chemical Problem, i. The Mathematical Prob- 

 lem, 3. The Probable Error, 4. The Constant Error, 

 5. Two Common Errors, 5. Our Course of Train- 

 ing, 6. 



II. THE MEAN WEIGHT OF A SILVER DOLLAR: 



Procedure, 7. Determinations, 7. Mean Weight 

 not True Weight, 8. Effect of Wear; Abrasion, 8. 

 Frequency in Circulation, 8. The Mean a Lower 

 Limit, 9. Amount of Abrasion, 9. Calculated Weight 

 of New Coin, 10. Testing the Result; Tolerance, 10. 

 Estimate from Quarters, u. 



III. THE PROBABLE ERROR OF THE MEAN: 



The Two Probable Errors, n. Systematic and Con- 

 stant Errors, 12. Calculation of Probable Error, 12. 

 Shall we use this Error, 14. Condition by Number, 15. 

 Condition by Probability, 15. Conditions were Dis- 

 regarded, 16. Conditions Applied by Us, 16. All Pub- 

 lished Probable Errors are False, 17. The Double 

 Distilled Fraud, 18. The Law of Probability, 18. All 

 Dice are Loaded, 18. False Science from False Facts 

 and False Tools, 19. Nature can not be Suppressed, 19. 

 The Exact Scientist Should be Tested First, 20. The 

 Greatest False Scientist, 20. 



