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1 c ,

2 SNA , 2005;, (2.1) Y E k /N E k Y W k /N W k k =1,...,37 N Y E Executive 9 W Worker k

3

4 A B 0 C 0 D 0 E F G

5 Mijk l=1 M Y ijkl/n E ijkl E ijk (2.2) R ijk = 1 Mijk l=1 M Y ijkl W /N ijkl W ijk i,j =2,...,17, k=1,...,37

6 R M i 1 j 1 l ijkl 1 i 1 j k l i,j =1 i,j = M ijk (i,j =1,...,18, k=1,...,37)

7 M ijk l=1 Y W ijkl/n W ijkl (i,j =2,...,18, k=1,...,37)

8 M ijk M ijk l=1 Y E ijkl/n E ijkl (i,j =2,...,18, k=1,...,37) R ijk (i,j =2,...,17, k=1,...,37)

9 (4.1) (4.2) R k = S k = i=2 j=2 i=2 i=2 M ijk M ijk j=2 M ijk j=2 M ijk R ijk k =1,...,37 i=2 j=2 (R ijk R k ) 2 k =1,...,37 R k S k

10 (4.3) (4.4) R k = S k = i=3 j=3 i=3 i=3 M ijk M ijk j=3 M ijk j=3 M ijk R ijk k =1,...,37 i=3 j=3 (R ijk R k) 2 k =1,...,

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17 AFL-CIO paywatch 1 1 average CEO to average worker pay ratio average executive officer to average worker pay ratio the disparity ratio between executive officer s average payroll to worker s average payroll a pp b 1

18 p No a b. SNA No DP/

19 Proceedings of the Institute of Statistical Mathematics Vol. 57, No. 2, (2009) 411 Measurement Methodology of Disparity Ratio between Executive Officer s Average Payroll and Worker s Average Payroll by Using the Financial Statements Statistics of Corporations by Industry Mikio Suga Faculty of Economics, Tokyo International University The disparity ratio between executive officer s average payroll and worker s average payroll is often used to analyze the allocation of corporate earnings, or to estimate the macro personal income. However, this ratio is not the official figure of the Ministry of Finance (MOF), and researchers calculate it from published data of Financial Statements Statistics of Corporations by Industry (FSSCI). This paper examines the measurement methodology of disparity ratio. I find that the disparity ratio calculated by the published data of FSSCI is possibly understated for two reasons. First, the executive officer s average payroll (numerator) mainly reflects the payroll of small corporations. On the other hand, the worker s average payroll (denominator) mainly reflects the payroll of large corporations. Second, both an executive officer s payroll and a worker s payroll are higher for larger corporations. Based on these findings, I propose a new disparity ratio calculated from micro data of FSSCI in the following manner. First, I calculate an executive officer s average payroll and a worker s average payroll by company and observe its distribution. Second, I calculate the disparity ratio in which the weight of each company is equal. I thus find that the disparity ratio calculated from published macro data is smaller than that calculated from micro data. Key words: Financial Statements Statistics of Corporations by Industry, worker, executive officer, payroll, disparity ratio.

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