4.1 Statistical investigation (quantitative findings)
4.1.1 Leadership
The leadership construct includes 12 questions/variables shown in Table 9. The sample size for the whole construct (regardless of phases) is 142 including all projects in the database. The data is normally distributed based on the histogram shape Figure 8 and also based on the skewness and kurtosis Table 13. The internal consistency/reliability of the construct is excellent Table 15. Descriptives of leadership construct are shown in Table 19 below.
As mentioned before, for t-test, the normality of the leadership construct should be tested in each phase, namely, conceptualization, planning, and execution. This
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investigation is already done in the methodology section using skewness and kurtosis which is presented in Table 12. The table suggest that leadership construct in
conceptualization phase is not normal. The distribution histograms of the phases are shown in Figure 9, Figure 10, and Figure 11.
TABLE 19DESCRIPTIVES OF LEADERSHIP CONSTRUCT
Descriptive Statistics
N Range Minimum Maximum Mean Std. Deviation Variance
Leadership 142 2.81 2.11 4.91 3.7593 .52497 .276
Valid N (listwise) 142
FIGURE 8DISTRIBUTION HISTOGRAM OF LEADERSHIP CONSTRUCT REGARDLESS OF DIFFERENT PHASES
FIGURE 9DISTRIBUTION HISTOGRAM OF
LEADERSHIP CONSTRUCT IN CONCEPTUALIZATION PHASE
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Descriptives of leadership construct in different phases are available in Table 20 including sample size, mean, standard deviation, and standard error mean.
TABLE 20DESCRIPTIVES OF LEADERSHIP CONSTRUCT IN DIFFERENT PHASES
The results of independent-samples t-test and Mann-Whitney U test are presented in 3 categories as follows.
Group Statistics
Project phase N Mean Std. Deviation Std. Error Mean Leadership Conceptualization 29 3.8007 .58843 .10927
Planning 54 3.6743 .50124 .06821
Execution 56 3.8235 .51376 .06865
FIGURE 10DISTRIBUTION HISTOGRAM OF LEADERSHIP CONSTRUCT IN PLANNING PHASE
FIGURE 11 DISTRIBUTION HISTOGRAM OF LEADERSHIP CONSTRUCT IN EXECUTION PHASE
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4.1.1.1 Conceptualization and planning
Descriptives of the 2 phases are shown in Table 20 including sample size, mean, standard deviation, and standard error mean.
Based on Table 12, the leadership construct in conceptualization phase is not normal because its skewness is slightly (0.03) out of the acceptable range. Therefore, it is necessary to conduct both parametric and nonparametric tests here, i.e., independent-samples t-test and Mann-Whitney U test.
Table 21 presents the results of independent-samples t-test (the parametric test) which also comprises the results of Levene's Test for Equality of Variances. According to the table, the variances of the phases is approximately equal and there is no significant difference in leadership between conceptualization and planning phases of the projects because the significance level is greater than 0.05.
The results of Mann-Whitney U test (the nonparametric test) together with its descriptives are presented in Table 22 and Table 23. Based on Table 23, there is no significant difference in leadership between conceptualization and planning phases of the projects because the significance level is greater than 0.05.
T
ABLE21
THE RESULTS OF INDEPENDENT-SAMPLES T-TEST FOR LEADERSHIP IN CONCEPTUALIZATION-PLANNING COMPARISON
Independent Samples Test Levene's
Test for Equality of
Variances t-test for Equality of Means
F Sig. t df FOR LEADERSHIP IN CONCEPTUALIZATION-PLANNING COMPARISON Leadership Conceptualization 29 47.03 1364.00
Planning 54 39.30 2122.00
Total 83
Test Statistics
Leadership Mann-Whitney U 637.000
Z -1.394
Sig. (2-tailed) .163
a. Grouping Variable: Project phase
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4.1.1.2 Conceptualization and execution
Descriptives of the 2 phases are shown in Table 20 including sample size, mean, standard deviation, and standard error mean.
Based on Table 12, the data regarding the conceptualization phase of leadership construct is not normal. Thus, it is necessary to conduct a Mann-Whitney U test in addition to the t-test.
Table 24 presents the results of independent-samples t-test. It also comprises the results of Levene's Test for Equality of Variances. According to the table, the variances of the phases is approximately equal and there is no significant difference in leadership between conceptualization and execution phases of the projects because the significance level is greater than 0.05.
The results of Mann-Whitney U test together with its descriptives are presented in Table 25 and Table 26. Based on Table 26, there is no significant difference in leadership between conceptualization and execution phases of the projects because the significance level is greater than 0.05.
TABLE 24THE RESULTS OF INDEPENDENT-SAMPLES T-TEST FOR LEADERSHIP IN CONCEPTUALIZATION-EXECUTION COMPARISON
Independent Samples Test Levene's
Test for Equality of
Variances t-test for Equality of Means
F Sig. t df
ip Equal variances
assumed .766 .384 -.184 83 .854 -.02277 .12357 -.26853 .22300 Equal variances
not assumed -.176 50.4 .861 -.02277 .12905 -.28191 .23637
TABLE 25THE DESCRIPTIVES OF MANN -WHITNEY U TEST FOR LEADERSHIP IN CONCEPTUALIZATION-EXECUTION PHASE COMPARISON
TABLE 26THE RESULTS OF MANN-WHITNEY U TEST FOR LEADERSHIP IN CONCEPTUALIZATION-
EXECUTION PHASE COMPARISON
4.1.1.2.3 Planning and execution
Descriptives of the 2 phases are presented in Table 20 including sample size, mean, standard deviation, and standard error mean.
Ranks Leadership Conceptualization 29 44.34 1286.00
Execution 56 42.30 2369.00
Total 85
Test Statistics
Leadership Mann-Whitney U 773.000
Z -.362
Sig. (2-tailed) .718
a. Grouping Variable: Project phase
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Table 27 presents the results of independent-samples t-test. It also comprises the results of Levene's test for Equality of Variances. According to the table, the variances of the phases is approximately equal and there is no significant difference in leadership between planning and execution phases of the projects because the significance level is greater than 0.05.
The results of Mann-Whitney U test together with its descriptives are presented in Table 28 and Table 29. Based on Table 29, there is no significant difference in leadership between planning and execution phases of the projects because the significance level is greater than 0.05.
TABLE 27THE RESULTS OF INDEPENDENT-SAMPLES T-TEST FOR LEADERSHIP IN PLANNING-EXECUTION COMPARISON Independent Samples Test
Levene's Test for Equality of
Variances t-test for Equality of Means
F Sig. t df LEADERSHIP IN PLANNING-EXECUTION PHASE COMPARISON
TABLE 29THE RESULTS OF MANN-WHITNEY U TEST FOR LEADERSHIP IN PLANNING-EXECUTION
PHASE COMPARISON