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The Making of Index Numbers

Consulting Editor James Tobin

Measuring movements in the general level of prices was crucial for Irving Fisher’s monetary economics. His distinction between real and nominal interest rates depended on changes in the general price level. His statement of the quantity theory of money, holding that, other things being equal, a change in the quantity of money leads in the long run to a change in the price level of the same proportion, also depends on the concept and measurement of an index of the average level of prices. His compensated dollar proposal called for stabilization of an index of commodity prices. Fisher drew on his great energy and determination in his effort to decide upon and calculate an ideal index number for prices, along with the corresponding index for quantities. Although Fisher had predecessors, whom he generously acknowledged, Arthur Vogt rightly states that one may call Fisher’s The Purchasing Power of Money the old testament and The Making of Index Numbers the new testament of statistical index theory.

Volume Contents

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    Front Matter
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    Editorial Introduction with Selected Documents
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    “The Best Form of Index Number”, March 1921 By Irving Fisher
  • The Making of Index Numbers: A Study of Their Varieties, Tests, and Reliability By Irving Fisher
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      Prelims
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      I
      Introduction
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      II
      Six Types of Index Numbers Compared
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      III
      Four Methods of Weighting
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      IV
      Two Great Reversal Tests
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      V
      Erratic, Biased, and Freakish Index Numbers
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      VI
      The Two Reversal Tests as Finders of Formulæ
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      VII
      Rectifying Formulæ By “Crossing” Them
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      VIII
      Rectifying Formulæ by Crossing their Weights
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      IX
      The Enlarged Series of Formulæ
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      X
      What Simple Index Number is Best?
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      XI
      What is the Best Index Number?
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      XII
      Comparing All the Index Numbers with the “Ideal” (Formula 353)
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      XIII
      The So-called Circular Test
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      XIV
      Blending the Apparently Inconsistent Results
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      XV
      Speed of Calculation
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      XVI
      Other Practical Considerations
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      XVII
      Summary And Outlook
    • Appendices
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        Appendix I: Notes to Text
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        Appendix II: The Influence Of Weighting
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        Appendix III: An Index Number an Average of Ratios Rather than a Ratio of Averages
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        Appendix IV: Landmarks in the History of Index Numbers 1
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        Appendix V: List of Formulæ for Index Numbers (For Reference)
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        Appendix VI: Numerical Data and Examples
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        Appendix VII: Table 65. Index Numbers by 134 Formulæ for Prices by the Fixed Base System and (in Noteworthy Cases) the Chain System (1913 = 100)
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        Appendix VIII: Selected Bibliography
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        Appendix IX: Review of Literature Since the First Edition
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      Index
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    Editorial Postscript with Selected Documents
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    “Professor Young on Index Numbers”, August 1923 By Irving Fisher
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    “Professor Bowley on Index Numbers, June 1923 By Irving Fisher
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    Index Number Construction”, December 1927: Formerly the Quarterly Publication of the American Statistical Association By Irving Fisher