Table 5 illustrates the arithmetic means
, standard deviation and sequence of study sample responses concerning the dependent variable (consumer satisfaction).
In addition, it is not suitable for us to aggregate them by classical weighted arithmetic mean
or geometric mean
It is obvious that [[??].sub.p] is reduced to ordinary weighted harmonic mean and ordinary weighted arithmetic mean
for p = 1 and p = -1, respectively.
The weight result obtained from aggregation in the above interval judgment matrix by the method based on integrated arithmetic mean
is = [0.397,0.637], [w.sub.2] = [0.083,0.116], [w.sub.3] = [0.328,0.487], and the importance sequence of corresponding elements is ([u.sub.1] > [u.sub.3] > [u.sub.2]).
ANOVA was used to determine whether the difference between the arithmetic means
and computer use period is significant, and Scheffe test was employed to determine the differences between the groups in terms of stages of education.
[H.sub.1]: We suppose that arithmetic mean
of social network utilization frequency by finding new business contacts and job opportunities from the point of view of male is not equal to arithmetic mean
of social network utilization frequency by mentioned purpose from the point of view of female and at the same time we assume that the difference between them, if it exists, is not caused only by coincident variation of selection results.
TABLE 1 Illustrative Comparison of Arithmetic and Geometric Means (Dollars per Hour) Wage of Wage of Arithmetic Mean
: Mean of the Logs: Worker 1 Worker 2 (1)+(2)/2 (3) In(1)+In(2)/2 (4) (1) (2) Group A 30.0 20.0 25.0 3.2 Group B 40.0 10.0 25.0 3.0 Geometric Mean: (In(1)+In(2)/2) (5) Group A 24.5 Group B 20.0 Returning to my practical motivation for focusing on arithmetic means
, if the federal government had a set of workers paid like those in group A and changed their pay to resemble that of group B to make them comparable with similar workers in the private sector, there would be no effect on the federal budget--even though the mean log wage had been 0.2 log points higher in group A.
Analysis of variance (ANOVA) is widely used in practice to compare group means and the arithmetic mean
is used for necessary calculations.
According to the statistics from TX Investment Consulting, of the 9 public fund companies managing assets of over RMB100 billion by the end of the year, as compared to the full-year active equity investment performance (Calculation of Arithmetic Mean
NAV Growth Rate of Comparable Active Equity Funds Excluding Sector Funds in 2013), E Fund topped the list by the overall NAV growth rate of 20.75%, closely followed by China AMC of 17.57%, Harvest Fund of 16.82%, Bank of China Investment Management of 16.53%, GF Fund Management of 13.23%, ICBC Credit Suisse Asset Management of 9.39%, Tianhong Asset Management of 8.75%, China Southern Asset Management of 6.12% and Bosera Funds of 4.50%.
As a result, in these cases the arithmetic mean
of the percentage error calculated in a sample provides an overstatement of the corresponding population mean.