5.1. Non-Parametric Tests
Consumer preferences for the various time slots were initially captured in terms of rating on a 10-point Likert scale, with ‘0’ meaning ‘no preference’ and ‘10’ meaning ‘maximum preference’. The time slots considered in this study are defined in
Table 2.
It should be noted that since the response (or dependent) variable and several explanatory variables were ordinal in nature and not normally distributed, parametric tests such as the one-way ANOVA with repeated measures, which requires the data to be normally distributed, could not be used [
56]. Thus, non-parametric tests, such as the Friedman test and Wilcoxon signed-rank test, which do not require the data to be normally distributed, were conducted to determine the differences in consumer preferences for various time slots of home delivery.
The Friedman test is the non-parametric counterpart of the one-way ANOVA with repeated measures test, and it is used to test for differences between groups when the dependent or response variable is measured on an ordinal scale [
57]. The Friedman test compares the mean ranks between related groups and indicates whether the groups differ or not. It is apparent from
Table 3 that, overall, there is a statistically significant difference between the mean ranks of consumer ratings for various time slots of home deliveries (Chi-square = 21.69,
p ≤ 0.001), with the mean rank of the late afternoon time slot being the maximum (3.24) among all the time slots for receiving home deliveries of items bought online.
However, it should be noted that the Friedman test is an omnibus test, i.e., it indicates whether there are overall differences, but does not provide information on which groups differ from each other. Therefore, post hoc tests, namely Wilcoxon signed-rank tests, are required to be conducted on each combination of groups (i.e., time slots), to determine the groups that differ from one another (in terms of consumer preferences in this case). The Wilcoxon signed-rank tests were conducted for 10 combinations of time slots, as shown in
Table 4. Given that multiple comparisons were to be made, it was more likely that a result would have been declared statistically significant when it was in fact not (i.e., a Type I error) if the significance level was not adjusted to account for multiple comparisons. Hence, a Bonferroni adjustment on the results obtained from the Wilcoxon tests was needed. The Bonferroni adjustment is made by dividing the significance level used in the Friedman test (in this case, 0.05) by the number of tests or comparisons carried out. Therefore, the new significance level of 0.005 (i.e., 0.05/10) was used to determine the time slots for which consumers had statistically significantly different preferences. This implies that if the p-value is larger than 0.005, there is no statistically significant difference between consumer preferences for both the compared time slots.
Out of the above 10 pairs of time slots that were compared, only two pairs were found to have a statistically significant difference in consumer preferences (Refer to
Table 4). The results of the Wilcoxon signed-rank tests are shown only for pairs that had statistically significant differences, i.e., Pair 3 and Pair 8, as shown in
Table 5. Note that the non-traditional evening home delivery time slot was not found to have a statistically significant difference in ratings given by consumers. This implies that consumers do not prefer the evening home delivery time slot over other time slots.
The consumer preference for home delivery during the late afternoon time slot was found to be statistically significantly greater than for home delivery during the afternoon time slot (Z = −3.017, p = 0.003, Mean rank late afternoon = 119.60). This implies that consumers prefer the late afternoon time slot (3 p.m.–6 p.m.) more than the afternoon time slot (12 p.m.–3 p.m.). Similarly, the consumer preference for home delivery during the late afternoon time slot was also found to be statistically significantly greater than for home delivery during the early morning time slot (Z = −3.777, p ≤ 0.001, Mean rank late afternoon = 147.16). This implies that the late afternoon time slot is preferred more than the early morning time slot too. Therefore, the late afternoon time slot appeared to be consumers’ most preferred time slot for receiving home deliveries.
5.2. Ordinal Logistic Regression
It should be noted, however, that the non-parametric tests do not help to describe the possible reasons for differences in consumer preferences for various home delivery time slots. Therefore, the ordinal logistic regression technique that helps investigate the correlation between a response variable and explanatory variables, while controlling for the effect of other factors (e.g., socio-demographics), was adopted to examine the factors governing consumer preferences. Given that the late afternoon time slot was found to be the most preferred time slot for receiving home deliveries, the ordinal logistic regression was carried out only for that time slot, leaving the other four time slots aside.
The consumer preference in terms of ratings for the late afternoon time slot was considered as the dependent (or response) variable, and the ratings were categorised as low preference and high preference, as shown in
Table 6. All the remaining variables were treated as predictor (or explanatory) variables.
Moreover, 19 explanatory variables were initially considered to estimate the model using the OL regression approach in the statistical package for social sciences (SPSS). Of the 19 variables, only 9 turned out to be statistically significant in explaining the variance in consumers’ preference for late afternoon home delivery at the end of 12 iterations of the model estimation, with variables that did not turn out to be statistically significant (at the 90% confidence level) being eliminated from the model in the next iteration. The results of the OL regression analysis are given in
Table 7.
The ‘high preference’ level of the response variable was treated as the reference level. The intercept-only model (i.e., with no variables included) was outperformed by the final model (i.e., with variables included), as the likelihood ratio Chi-square test, which tests whether at least one of the coefficients is not equal to zero, was found to be statistically significant (Chi-square = 65.217,
p < 0.001, and degrees of freedom = 21). Furthermore, the Pearson Chi-square goodness-of-fit measure (
p-value of 0.191) shows that the model is an adequate fit. The McFadden Pseudo R
2 value of 0.133 indicates a moderately good fit, as the Pseudo R
2 values are usually considerably lower than the R
2 value of the ordinary least square (OLS) regression [
58,
59]. A value between 0.2 and 0.4 denotes an excellent fit for the model and is approximately equivalent to an OLS R
2 value between 0.5 and 0.8 [
12,
60].
OL regression estimates only one model (except for different intercept values) for all the choice alternatives (or levels). The logit estimates (i.e., log-odds) are coefficients of the explanatory variables included in the model and are relative to the reference level within each of the explanatory variables. For example, the log-odds of scoring higher on the response variable (i.e., high preference for late afternoon home delivery) is 0.292 units higher for consumers aged 18–29 years than those aged 60 years or more, when all the other predictor variables in the model are held constant. In other words, younger consumers are more likely than older ones to prefer home deliveries during the late afternoon time slot.
The standard error values of the estimates indicate the average distance of the observed values from the regression line, and thus show the precision of the model on average, using the units of the response variable. Smaller values are better because they indicate that the observations are closer to the fitted relationship.
The odds ratio is the exponentiation of the logit estimate. It indicates the odds of a level of an explanatory variable (relative to the reference level of the variable) being in a higher level of the response variable than levels lower than that. For example, for respondents aged 18–29 years, the odds ratio of 1.34 indicates that they are 1.34 times more likely to be in the higher level (e.g., high preference) of the response variable (i.e., preference for home delivery during late afternoon) than respondents aged 60 years or more.
Consumers’ age turned out to be significantly positively correlated with the preference for late afternoon home delivery. The consumer preference was found to increase with age, but only until the age of 59 years. Note that people aged 60 years or above were found to be less likely to have a high preference for late afternoon home delivery than their younger counterparts. This could be due to the higher likelihood of younger people being away for, say, work or study purposes during the day.
Consumers’ educational qualification was found to be significantly negatively correlated with their preference for late afternoon home delivery, with people having higher qualifications, such as a ‘bachelor’s degree or above’, being less likely to have a high preference for late afternoon home delivery than people having Trade Certificates or up to NCEA Level 3 education. This is perhaps due to the fact that ‘trade persons’ (e.g., plumbers, fitters, and labourers) typically start their work early in the morning and often return from work early compared to their highly qualified counterparts, which makes them available to receive their online orders during the late afternoon time slot. There is an increasing trend of people working from home, which is usually possible only with jobs involving highly qualified people, and hence they may be available to receive their parcels earlier during the day.
Consumers’ employment status was found to be significantly correlated with their preference for late afternoon home delivery, with students being more likely and employed people being less likely to have high preference for late afternoon home delivery than unemployed or retired people. This result is partially in line with the above observation that younger people are more likely to prefer late afternoon home deliveries than people aged 60 years or more, who are more towards the retirement age. This could be due to the higher likelihood of unemployed or retired people being available at home during the day. It is important to note that employed people are less likely to have a high preference for late afternoon home deliveries, and perhaps this is due to the short time window available to them compared to retired or unemployed people to receive their parcels after finishing work, which is typically around 5 p.m.
Consumers’ household composition was found to be significantly correlated with their preference for late afternoon home delivery, with ‘people living alone’ and ‘couples living without children’ being less likely, and those ‘living with children’ being more likely to have a high preference for late afternoon home delivery than respondents living in households with other types of compositions. This is perhaps due to the higher likelihood of young children being available at home (after finishing school) during the late afternoon.
Consumers’ online shopping experience was found to be significantly positively correlated with their preference for late afternoon home delivery, with consumers who began online shopping more than six years ago being more likely to have a high preference for late afternoon home delivery than consumers who started shopping online less than 3 years ago. This is perhaps due to less experienced online shoppers’ being mainly older people (given that they are less techno-savvy) who are retired or unemployed, and hence available to receive their orders throughout the day.
Consumers’ frequency of shopping at physical shops was found to be significantly positively correlated with their preference for late afternoon home delivery, with people shopping four or more times a week being more likely to have a high preference for late afternoon home delivery than people shopping less frequently. It is possible that people shopping frequently at physical shops are often not available at home earlier during the day.
Consumers’ frequency of visiting supermarkets (per month) was found to be significantly correlated with their preference for late afternoon home delivery, with people visiting supermarkets six or more times a month being more likely to have a high preference for late afternoon home delivery than people visiting supermarkets less frequently. It is possible that those who visit supermarkets more frequently are time-rich and are available during the day to receive their parcels.
The number of cars in a household was found to be significantly correlated with consumers’ preference for late afternoon home delivery, with people not having cars in their household being less likely to have a high preference for late afternoon home delivery than people having cars in their household. It is possible that those who do not have access to a car may take longer to return home after finishing work, which makes it difficult for them to receive parcels during the late afternoon time slot.
Consumers’ household size was found to be significantly correlated with their preference for late afternoon home delivery, with households with up to two people being more likely to have a high preference for late afternoon home delivery than households with more than two people. It is possible that smaller households may not have anybody at home earlier during the day, which makes it difficult for them to receive parcels before the late afternoon time slot.
The number of children below 18 years of age in a household was found to be significantly correlated with consumers’ preference for late afternoon home delivery, with households with no children below 18 years of age being less likely to have a high preference for late afternoon home delivery than the households with children aged less than 18 years. It is possible that people from households with no children aged less than 18 years are all working, and hence, they often do not have anybody at home during the day, which makes it difficult for them to receive parcels during the late afternoon time slot.