Attitudes towards Statistics among Business Students: Do Gender, Mathematical Skills and Personal Traits Matter?
Abstract
:1. Introduction
2. Theory and Research Model
2.1. Attitudes towards Statistics
2.2. Gender and Attitudes towards Statistics
2.3. Mathematical Skills and Attitudes towards Statistics
2.4. The Big Five Personality Traits
2.5. Big Five Model and Gender Difference
2.6. Hypotheses
3. Sample and Research Methodology
3.1. Sample
3.2. The Model
- Yi: Factor i attitudes towards statistics, i = Affect, Value, Difficulty, Interest, Cognitive Competence or Effort (Likert scale 1 to 7)
- α0: Constant
- X1: Gender (0:F, 1:M)
- X2: Dummy variable for N-mathematics (0: Non N-maths, 1: N-maths)
- X3: Dummy variable for S-mathematics (0: Non S-maths, 1: S-maths)
- X4: Agreeableness (Likert scale 1 to 5)
- X5: Conscientiousness (Likert scale 1 to 5)
- X6: Extraversion (Likert scale 1 to 5)
- X7: Neuroticism (Likert scale 1 to 5)
- ε: stochastic error
3.3. The Data
4. Finding
4.1. Descriptive Gender Differences and Pairwise Comparison Using T-Test
4.2. Result from the Regression Model
5. Discussion
6. Limitations
7. Conclusions
Funding
Conflicts of Interest
Appendix A
N | Min | Max | Mean | Std. Deviation | Skewness | Std. Error | Kurtosis | Std. Error | Scale Reliability Cronbach’s Alfa | |
---|---|---|---|---|---|---|---|---|---|---|
Affect | 131 | 1.00 | 7.00 | 4.5941 | 1.24911 | −0.460 | 0.212 | 0.151 | 0.420 | 0.837 |
Cog. Competence | 131 | 1.83 | 7.00 | 5.1883 | 1.07934 | −0.516 | 0.212 | −0.053 | 0.420 | 0.840 |
Value | 131 | 1.33 | 6.67 | 4.4448 | 0.99616 | −0.220 | 0.212 | −0.015 | 0.420 | 0.851 |
Difficulty | 131 | 1.14 | 5.29 | 3.5217 | 0.75128 | 0.065 | 0.212 | 0.189 | 0.420 | 0.649 |
Interest | 131 | 1.00 | 7.00 | 4.4994 | 1.29114 | −0.222 | 0.212 | −0.192 | 0.420 | 0.854 |
Effort | 131 | 1.50 | 7.00 | 5.6698 | 1.08577 | −1.250 | 0.212 | 1.847 | 0.420 | 0.700 |
Extraversion | 130 | 1.75 | 5.00 | 3.6404 | 0.78305 | −0.211 | 0.212 | −0.483 | 0.422 | 0.835 |
Agreeableness | 130 | 2.25 | 5.00 | 3.9103 | 0.56933 | −0.574 | 0.212 | 0.110 | 0.422 | 0.486 |
Conscientiousness | 130 | 1.50 | 5.00 | 3.6679 | 0.70245 | −0.569 | 0.212 | 0.223 | 0.422 | 0.711 |
Neuroticism | 130 | 1.00 | 4.50 | 2.7013 | 0.79110 | 0.041 | 0.212 | −0.471 | 0.422 | 0.737 |
Openness | 130 | 1.50 | 5.00 | 3.3295 | 0.72655 | −0.120 | 0.212 | −0.482 | 0.422 | 0.589 |
Valid N (listwise) | 130 |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | - | 0.035 | −0.002 | −0.108 | 0.069 | 0.160 | −0.037 | −0.072 | −0.040 | 0.064 | −0.040 | 0.645 | −0.026 |
2 | 0.035 | - | 0.170 | 0.063 | 0.225 | 0.037 | −0.343 | 0.241 | 0.052 | 0.229 | −0.289 | −0.041 | −0.013 |
3 | −0.002 | 0.170 | - | 0.048 | 0.222 | 0.099 | 0.054 | 0.123 | −0.215 | 0.425 | −0.187 | −0.070 | −0.103 |
4 | −0.108 | 0.063 | 0.048 | - | −0.075 | −0.159 | −0.158 | −0.212 | 0.099 | 0.030 | 0.005 | −0.091 | 0.118 |
5 | 0.069 | 0.225 | 0.222 | −0.075 | - | −0.021 | −0.091 | −0.040 | −0.439 | 0.218 | −0.327 | −0.079 | −0.336 |
6 | 0.160 | 0.037 | 0.099 | −0.159 | −0.021 | − | −0.107 | −0.318 | 0.167 | −0.177 | −0.001 | 0.156 | −0.173 |
7 | −0.037 | −0.343 | 0.054 | −0.158 | −0.091 | −0.107 | - | 0.041 | −0.093 | 0.227 | 0.128 | 0.092 | 0.022 |
8 | −0.072 | 0.241 | 0.123 | −0.212 | −0.040 | −0.318 | 0.041 | − | −0.067 | 0.092 | −0.090 | −0.062 | 0.014 |
9 | −0.040 | 0.052 | −0.215 | 0.099 | −0.439 | 0.167 | −0.093 | −0.067 | − | −0.074 | 0.094 | −0.046 | 0.037 |
10 | 0.064 | 0.229 | 0.425 | 0.030 | 0.218 | −0.177 | 0.227 | 0.092 | −0.074 | - | −0.055 | 0.043 | −0.002 |
11 | −0.040 | −0.289 | −0.187 | 0.005 | −0.327 | −0.001 | 0.128 | −0.090 | 0.094 | −0.055 | - | 0.057 | −0.454 |
12 | 0.645 | −0.041 | −0.070 | −0.091 | −0.079 | 0.156 | 0.092 | −0.062 | −0.046 | 0.043 | 0.057 | - | −0.131 |
13 | −0.026 | −0.013 | −0.103 | 0.118 | −0.336 | −0.173 | 0.022 | 0.014 | 0.037 | −0.002 | −0.454 | −0.131 | - |
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Trait | Definition |
---|---|
Openness to experience | People who have fantasies are open to new experiences and ideas. Example item: I have a lively imagination |
Conscientiousness | Conscientious people have these personal characteristics: organized, responsible, self-disciplined, effective, and/or goal oriented. Example item: I am always prepared. |
Extraversion | Extraverts are social and oriented toward the outer world Example item: I am interested in people. |
Agreeableness | Agreeable people act cooperatively, show trust, and have unselfish manners. Example item: I like to cooperate with others. |
Neuroticism (inverse of emotional stability) | Neurotic people tend to be emotionally unstable, often have anxiety and/or are depressed. Example item: I get nervous easily. |
a. Data from the Big Five Model, Personal Traits (N = 130). | ||||
Factor | Mean | Min | Max | Std. Deviation |
Agreeableness | 3.91 | 225 | 5.0 | 0.57 |
Conscientiousness | 3.67 | 1.50 | 5.0 | 0.70 |
Extraversion | 3.64 | 1.75 | 5.0 | 0.78 |
Openness | 3.33 | 1.50 | 5.0 | 0.73 |
Neuroticism | 2.70 | 1.0 | 4.50 | 0.79 |
b. Data from Attitudes Toward Statistics (N = 139, 1 year, 2019). | ||||
Factor | Mean | Min | Max | SD * |
Affect | 4.60 | 1.0 | 7.0 | 1.25 |
Value | 4.45 | 1.33 | 6.67 | 1.00 |
Difficulty (find statistics easy) | 3.52 | 1.14 | 5.29 | 0.75 |
Interest | 4.51 | 1.0 | 7.0 | 1.29 |
Cognitive Competence | 5.19 | 1.83 | 7.0 | 1.08 |
Effort | 5.67 | 1.50 | 7.0 | 1.09 |
c. Mathematics Skills. The business students’ choice of mathematical pathway at the Secondary-Upper School (N = 129). | ||||
Mathematics | Women | Men | All | |
Practical mathematics (P-maths) | 13 (59.1%) | 9 (40.9%) | 22(100%) | |
Mathematics for business and social science (S-maths) | 35 (53.8%) | 30 (46.5%) | 65 (100%) | |
Mathematics for natural science (N-maths) | 14 (36.8%) | 24 (63.2%) | 38 (100%) | |
Others | 4 (100%) | 0 (0%) | 4 (100%) | |
All | 66(51.4%) | 63 (48.6%) | 129 (100%) |
a. Independent Sample t-Test, Big Five, Personal Traits (Assume Equal Variance). | |||||
Factor | Women | Men | Difference | t-Value | Significance Level (2-tailed) |
Agreeableness | 4.00 | 3.81 | 0.19 (0.10) | 1.91 | 0.058 |
Conscientiousness | 3.79 | 3.59 | 0.20 (0.10) | 1.71 | 0.09 |
Extraversion | 3.64 | 3.62 | 0.02 (0.14) | 0.064 | 0.95 |
Openness | 3.30 | 3.36 | −0.06 (0.13) | −0.44 | 0.66 |
Neuroticism | 3.05 | 2.33 | 0.72 (0.12) | 5.81 | 0.000 |
b. Independent Sample t-Test, Gender and Attitudes Towards Statistics (Assume Equal Variance). | |||||
Factor | Women | Men | Difference | t-Value | Significance Level (2-tailed) |
Affect | 4.43 | 4.81 | −0.39 (0.22) | −1.76 | 0.081 |
Value | 4.22 | 4.70 | −0.49 (0.17) | −2.83 | 0.005 |
Difficulty (find statistics easy) | 3.32 | 3.75 | −0.43 (0.13) | −3.32 | 0.001 |
Interest | 4.19 | 4.87 | −0.67 (0.22) | −3.10 | 0.002 |
Cognitive Competence | 5.05 | 5.38 | −0.33 (0.19) | −1.73 | 0.086 |
Effort | 5.97 | 5.38 | 0.59 (0.19) | 3.16 | 0.0028 |
a. Results of the Regression Model: Attitudes towards Statistics. (Unstandardized Coefficients, β). | ||||||||
Affect | Value | Difficulty (Easy) | Cognitive Competence | |||||
Coefficient β | Significance Level | Coefficient β | Significance Level | Coefficient β | Significance Level | Coefficient β | Significance Level | |
Step 1 | ||||||||
Constant | 4.41 | 4.22 | 3.32 | 5.04 | ||||
Gender | 0.41 (0.22) | 0.066 | 0.49 | 0.005 | 0.43 (0.13) | 0.001 | 0.34 (0.19) | 0.074 |
N = 127 Adj. R2 = 0.019 | N = 127 Adj. R2 = 0.052 | N = 127 Adj. R2 = 0.073 | N = 127 Adj. R2 = 0.017 | |||||
Step 2 | ||||||||
Constant | 5.01 | 4.05 | 4.00 | 6.45 | ||||
Gender | 0.15 (0.25) | 0.58 | 0.40 (0.20) | 0.045 | 0.36 (0.15) | 0.019 | 0.059 (0.21) | 0.29 |
Agreeableness | −0.08 (0.20) | 0.78 | −0.17 (0.16) | 0.30 | −0.16 (0.12) | 0.20 | −0.28 (0.17) | 0.10 |
Conscientiousness | 0.40 (0.17) | 0.022 | 0.32 (0.14) | 0.021 | 0.11 (0.10) | 0.30 | 0.40 (0.14) | 0.006 |
Extraversion | 0.042 (0,15) | 0.78 | −0.08 (0.12) | 0.50 | 0.10 (0.09) | 0.29 | 0.071 (0.13) | 0.58 |
Openness | −0.19 (0.17) | 0.26 | 0.12 (0.14) | 0.38 | −0.15 (0.10) | 0.13 | −0.22 (0.14) | 0.12 |
Neuroticism | −0.45 (0.17) | 0.009 | −0.16 (0.14) | 0.25 | −0.10 (0.10) | −0.44 (0.14) | 0.002 | |
N = 127 Adj. R2 = 0.094 | N = 127 Adj. R2 = 0.073 | N = 127 Adj. R2 = 0.081 | N = 127 Adj. R2 = 0.137 | |||||
Step 3 | ||||||||
Constant | 4.76 | 3.80 | 3.82 | 6.32 | ||||
Gender | 0.056 (0.24) | 0.82 | 0.34 (0.20) | 0.089 | 0.32 (0.15) | 0.035 | 0.002 (0.20) | 0.99 |
N-maths | 0.67 (0.31) | 0.03 | 0.51 (0.25) | 0.044 | 0.32 (0.19) | 0.097 | 0.36 (0.26) | 0.17 |
S -maths | −0.12 (027) | 0.66 | −0.04 (0.22) | 0.87 | 0.07 (0.17) | 0.68 | −0.20 (0.23) | 0.39 |
Agreeableness | −0.07 (0.19) | 0.72 | −0.16 (0.16) | 0.30 | −0.16 (012) | 0.19 | −0.26 (0.16) | 0.11 |
Conscientiousness | 0.37 (0.17) | 0.03 | 0.30 (0.16) | 0.028 | 0.10 (0.10) | 0.35 | 0.38 (0.14) | 0.008 |
Extraversion | 0.11 (0.15) | 0.45 | −0.04 (0.12) | 0.78 | 0.12 (0.09) | 0.19 | 0.12 (0.16) | 0.77 |
Openness | −0.21 (0.16) | 0.19 | 0.10 (0.13) | 0.44 | −0.16 (0.10) | 0.12 | −0.26 (0.14) | 0.087 |
Neuroticism | −0.41 (0.16) | 0.01 | −0.13 (0.13) | 0.35 | −0.08 (0.10) | 0.42 | −0.42 (0.14) | 0.003 |
N = 127 Adj. R2 = 0.16 | N = 127 Adj. R2 = 0.12 | N = 127 Adj. R2 = 0.09 | N = 127 Adj. R2 = 0.18 | |||||
b. Results of the Regression Model: Attitudes towards Statistics. (Unstandardized Coefficients β). | ||||||||
Dependent Variable | ||||||||
Effort | Interest | |||||||
Coefficient β | Significance Level | Coefficient β | Significance Level | |||||
Step 1 | ||||||||
Constant | 5.97 | 4.17 | ||||||
Gender | −0.59 (0.19) | 0.002 | 0.70 | 0.002 | ||||
N = 127 Adj. R2 = 0.066 | N = 127 Adj. R2 = 0.117 | |||||||
Step 2 | ||||||||
Constant | 1.66 | 2.71 | ||||||
Gender | −0.24 (0.20) | 0.23 | 0.61 (0.25) | 0.015 | ||||
Agreeableness | 0.25 (0.16) | 0.13 | −0.11 (020) | 0.59 | ||||
Conscientiousness | 0.55 (0.14) | 0.00 | 0.44 (0.17) | 0.011 | ||||
Extraversion | 0.11 (0.12) | 0.39 | −0.18 (0.15) | 0.23 | ||||
Openness | 0.006 (0.14) | 0.96 | 0.42 (0.17) | 0.014 | ||||
Neuroticism | 0.27 (0.14) | 0.052 | −0.15 (0.17) | 0.36 | ||||
N = 127 Adj. R2 = 0.22 | N = 127 Adj. R2 = 0.094 | |||||||
Step 3 | ||||||||
Constant | 1.93 | 2.53 | ||||||
Gender | −0.21 (0.20) | 0.29 | 0.56 (0.25) | 0.025 | ||||
N-maths | −0.37 (0.26) | 0.15 | 0.35 (0.32) | 0.27 | ||||
S-maths | −0.42 (0.23) | 0.07 | 0.02 (0.29) | 0.96 | ||||
Agreeableness | 0.27 (0.16) | 0.09 | −0.11 (0.20) | 0.59 | ||||
Conscientiousness | 0.56 (0.14) | 0.00 | 0.43 (0.17) | 0.01 | ||||
Extraversion | 0.11 (0.12) | 0.40 | −0.15 (0.16) | 0.33 | ||||
Openness | 0.004 (0.14) | 0.98 | 0.41 (0.17) | 0.02 | ||||
Neuroticism | 0.24 (0.14) | 0.08 | −0.13 (0.17) | 0.43 | ||||
N = 127 Adj. R2 = 0.27 | N = 127 Adj. R2 = 0.12 |
Direct (Step 3 β-Value, Table 4a,b) | Indirect (Difference between Step 1 and 3) | Total (Step 1, β-Value, Table 4a,b) | Significance Level, Change from Direct to Total | |
---|---|---|---|---|
Affect | 0.41 | 0.354 | 0.056 | 6.6% to 8.2% |
Value | 0.49 | 0.15 | 0.34 | 0.5% to 8.9% |
Difficulty | 0.43 | 0.11 | 0.32 | 0.1% to 3.5% |
Interest | 0.70 | 0.09 | 0.61 | 0.2% to 1.5% |
Cognitive Competence | 0.34 | 0.338 | 0.002 | 7.4% to 99.0% |
Effort | −0.59 | 0.38 | −0.21 | 0.2% to 29.0% |
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Opstad, L. Attitudes towards Statistics among Business Students: Do Gender, Mathematical Skills and Personal Traits Matter? Sustainability 2020, 12, 6104. https://doi.org/10.3390/su12156104
Opstad L. Attitudes towards Statistics among Business Students: Do Gender, Mathematical Skills and Personal Traits Matter? Sustainability. 2020; 12(15):6104. https://doi.org/10.3390/su12156104
Chicago/Turabian StyleOpstad, Leiv. 2020. "Attitudes towards Statistics among Business Students: Do Gender, Mathematical Skills and Personal Traits Matter?" Sustainability 12, no. 15: 6104. https://doi.org/10.3390/su12156104
APA StyleOpstad, L. (2020). Attitudes towards Statistics among Business Students: Do Gender, Mathematical Skills and Personal Traits Matter? Sustainability, 12(15), 6104. https://doi.org/10.3390/su12156104