The below sections summarise the results, along with a discussion of the major findings.
5.2. Parallel Lines Test
An ordinal regression model’s validity relies on the proportionate odds assumption, as stated in the method section. In the event of a failure to satisfy this assumption, one cannot deploy an ordered logit model. Therefore, a test of parallel lines is implemented to assess the proportional odds assumption which states that the odds of a unit change in the independent variable having an effect on the outcome variable are constant across all levels of the dependent variable. This test involves plotting the predicted probabilities of each level of the dependent variable against the independent variable and examining the parallelism of the lines. If the lines are parallel, it indicates that the proportional odds assumption is met, and ordinal logistic regression can be used. If the lines are not parallel, it suggests that the proportional odds assumption is invalid, and an alternative statistical model may need to be used.
As can be seen in
Table 2, the Chi-square was 58.376 and the
p-value was 0.145, indicating that there is no significant variation in the slopes of the regression lines among dependent variable categories. This shows that the correlation between the predictor and outcome variables is constant across categories. The results of the test of parallel lines validates the OLM. As a result, the assumption of proportional odds is confirmed.
It should be noted that a significant result from the parallel lines test does not guarantee that the ordinal logistic regression model is appropriate for this data. It is one step in the process of verifying the model’s assumptions and ensuring that the model is an appropriate fit for the data. Therefore, the residual approach is used to evaluate the goodness of fit of the assumptions model. The residual plot, as depicted in
Figure 1, is almost horizontal between −2 and 2. This indicates that the model fits the data well and the residuals are randomly distributed. A horizontal residual plot also indicates that no pattern exists in the residuals, which implies that the model represents the underlying correlation between the predictors and the outcome variable.
5.5. Ordinal Logistic Model (OLM) Testing
The OLM is suitable for hypothesis testing based on the measurements of assumption testing. In this model, thinking of buying a self-driving car is the dependent variable with five ordered categories. The independent variables (i.e., predictors) are individuals’ perceptions on the relationship between AVs and privacy, security, environmental impact, or cost. The findings of the ordinal regression analysis are summarised in
Table 6.
Threshold values refer to the values that determine the cut-off points between categories in the dependent variable [
50]. As presented in
Table 6, five categories are ordered as follows: 0—very uninterested, 1—uninterested, 2—neutral, 3—interested, and 4—very interested. The thresholds determine the points at which a unit change in the independent variable is enough to change the predicted category of the dependent variable.
The predictor variable privacy measures the level of concern regarding large-scale data collection: 0 = not at all concerned; 1 = slightly concerned; 2 = somewhat concerned; 3 = moderately concerned; 4 = extremely concerned. The results showed the relationship between the two variables, the estimated effect of privacy on buying a self-driving car is statistically significant. The coefficients and their standard errors, as well as the Wald statistic, degrees of freedom,
p-values, and 95% confidence intervals are presented in
Table 6. When the privacy equals ’not at all concerned’, the estimated effect on buying a self-driving car is 1.552, with a standard error of 0.464 and a
p-value of 0.001, indicating that the relationship is statistically significant. The 95% confidence interval ranges from 0.642 to 2.462, meaning there is 95% certainty that the true effect of privacy on buying a self-driving car lies between 0.642 and 2.462 for the privacy category ’not at all concerned’ equal to 0.
The independent variable level of security measures the security of AVs in a five-point scale ranges from high insecure to high secure. The results revealed that there is a significant relationship between the level of security and the possibility that someone may consider purchasing an AV. The estimate for buying an AV being very desirable (3) is 2.890, and the p-value of this estimate is less than 0.05 (0.000), indicating that this relationship is statistically significant. The estimate for buying an AV being very undesirable (0) is −1.879, with a p-value of 0.013, indicating that this relationship is statistically significant. The 95% confidence interval for this estimate ranges from −3.363 to −0.394, which further supports the correlation between the level of security and the likelihood of someone thinking of buying a self-driving car.
The independent variable environmental impact is a categorical variable with five possible outcomes; namely: strongly not friendly = 0; not friendly = 1; neutral = 2; friendly = 3; strongly friendly = 4. The results revealed that the categories of the “environmental impact” variable have varying effects on purchasing an AV. For instance, a change from ‘strongly not friendly’, to ‘not friendly’, increases the log odds of the dependent variable by almost 0.059, which is not statistically significant (i.e., p = 0.833). A shift from ‘neutral’ to ‘friendly’, increases the log odds of the dependent variable to 0.327 with a value of p = 0.143, which is statistically not significant. This indicates that self-driving cars that are classified as environmentally friendly are more likely to be bought.
Finally, the outcome variable cost measures the willingness to purchase an AV based on their cost. The cost categorical variable ranges from ‘very high cost’ to ‘very low cost’. The results indicated that the cost of AVs has a significant impact on the possibility of purchasing them. For instance, when the cost of the AV decreases, the likelihood of buying it increases. The p-value for the cost category ‘very high cost’ is 0.039, which is significant. The p-value for the cost category ‘high cost’ is 0.034, which is also significant. While the p-value for the cost category ‘average’ is 0.242, which is not significant. This also the case for the cost category ‘low cost’, with a p value is 0.239.
To assess the impact of the predictors (privacy, level of security, environmental impact, and cost) on the dependent variable (willingness to buy an AV), odds ratios were computed for each category change as presented in
Table 6.
Regarding the predictor privacy, the change in the odds of being in a higher category of ’buy AV’ associated with a one-unit increase in Privacy, while holding other variables constant; for example, Privacy = 0 vs. Privacy = 4. An odds ratio of 4.721 means that compared to individuals who are most privacy-conscious, those with Privacy = 0 (the least privacy-conscious) had approximately 4.721 times higher odds of being in a higher category of ’buy AV’ (e.g., moving from 0 to 1, or from 1 to 2, etc.). It should be noted that the ’buy AV’ category where [buy AV = 4] is considered the reference category, and the corresponding odds ratio is not calculated since it would be compared to itself.
The odds ratio of 1.376 for the predictor level of security implies that, holding other predictors constant, individuals who rated security as the least important factor (Security = 0) had about 1.376 times higher odds of being in the ’buy AV’ category 0 compared to those who rated security as the most important factor (Security = 4). This suggests that the level of importance placed on security may affect the willingness of individuals to buy autonomous vehicles. This means those who value security highly may be more cautious and hesitant about adopting AV technology until they are convinced that it is safe and secure.
Regarding the predictor environmental impact, individuals who rated environmental impact as the least important factor (Environ = 0) had approximately 1.678 times higher odds of being in the ’buy AV’ category 0 compared to those who rated environmental impact as the most important factor (Environ = 4). This suggests that the level of importance placed on environmental impact may influence the willingness of individuals to buy an AV. Those who prioritise environmental considerations may be more likely to adopt an AV as it is perceived as being more environmentally friendly than conventional vehicles.
Regarding the predictor cost, individuals with Cost = 0 have approximately 2.26 times higher odds of being in the ’buy AV’ category 0 compared to individuals with Cost = 4. This implies that the cost may affect the willingness of individuals to buy an AV. Those who prioritise cost considerations may be more willing to adopt an AV if it is perceived as being more cost-effective compared to conventional vehicles.
Overall, the study analysed the impact of four predictors (privacy, level of security, environmental impact, and cost) on the willingness of individuals to buy autonomous vehicles (AVs). The odds ratios were calculated for each predictor, indicating the change in the odds of being in a higher category of ’buy AV’ associated with a one-unit increase in the predictor, while holding other variables constant. The results showed that the level of importance placed on each predictor had a significant effect on the willingness of individuals to buy AVs. Those who ranked privacy, environmental impact, and cost as low had higher odds of being in the ’buy AV’ category 0 (not interested at all), while those who highly ranked security had lower odds of being in the ’buy AV’ category 0 (not interested at all). These findings suggest that understanding individuals’ priorities and concerns related to AV adoption is critical to designing effective policies and strategies to promote the widespread adoption of AV technology.