Page 105 - 33-3
P. 105

NTU Management Review Vol. 33 No. 3 Dec. 2023




                                          4. Empirical Analysis


               4.1 Descriptive Statistics, Pearson and Spearman Correlations
                   We present the descriptive statistics of the variables in Table 3. The average ratio of
               senior salespersons for a branch office is 0.25 and the natural logarithm of the average

               advertising funding allocation for a branch office is 10.30. In addition, Ab_SENIOR
                                                                                             i,t
               ranges from -0.44 to 0.71, and Ab_ADV  ranges from -4.49 to 7.67. A higher inequity in
                                                  i,t
               the total number of senior salespersons and the amount of advertising funding indicate

               that regional managers allocate more unexpected senior salespersons and advertising
               funding to a branch office and vice versa. CONSENSUS  ranges from 0.01 to 1.00, with
                                                                 i,t
               1.00 indicating a complete consensus with the company’s goals; around 30% of the branch
               offices have prior sales performance ranked in the top 25 percent in the same region and
               the same month.

                   Table 4 shows the Pearson and Spearman correlations  among the variables. We find
                                                                   9
               that Ab_SENIOR  is positively correlated with PERF i,t-1 , REGIONAL_AGE , PRICE i,t,
                                                                                    i,t
                              i,t
               DEAL , and CYCLE . This may indicate that better prior sales performance, higher property
                    i,t
                                i,t
               price per deal, a greater number of houses sold, and higher residential house transactions
               are associated with higher allocation of unexpected senior salespersons. We also find that
               Ab_ADV  is positively correlated with CONSENSUS . These findings indicate that the
                      i,t
                                                               i,t
               level of goal consensus is correlated with a higher allocation of unexpected advertising
               expenditure. Although some significant and strongly correlated coefficients are found

               between the independent variables in Table 3, multicollinearity is unlikely to be a concern
               as the variance inflation factor (VIF) values are lower than 10 (Kutner, Nachtsheim, and
               Neter, 2004).



               4.2  Goal Consensus, Subordinates’ Prior Performance, and Resource Allocation
                  Preferences
                   The empirical results for our hypotheses are shown in Table 5. Columns (1) and (2) in
               Table 5 show that the effect of goal consensus (CONSENSUS ) is positive and statistically
                                                                     i,t
               significant in relation to Ab_ADV  (t = 2.37, p < 0.01) but not Ab_SENIOR  (t = 0.41, p
                                                                                  i,t
                                            i,t


                 9   The upper right coefficients are Spearman correlation coefficients.


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