Table 2.
Descriptive statistics of the monthly visitor arrivals by air transport to New Zealand (January 1993─December 2013).
| Countries | Maximum | Minimum | Mean | Standard deviation | Skewness | Kurtosis | Q(1) | Q(12) | Q2(1) | Q2(12) | Share of NZ's total monthly visitors | Average monthly growth rate |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Australia | 163,520 | 20,174 | 62,663 | 27,649 | 0.86 | 3.84 | 0.74*** | 0.88*** | 0.55*** | 0.87*** | 37.35% | 0.68% |
| Canada | 8533 | 940 | 3210 | 1718 | 0.75 | 2.53 | 0.81*** | 0.93*** | 0.79*** | 0.92*** | 1.91% | 0.32% |
| China | 31,440 | 192 | 6432 | 5719 | 1.14 | 4.28 | 0.89*** | 0.75*** | 0.75*** | 0.56*** | 3.83% | 1.74% |
| Japan | 20,214 | 2340 | 10,870 | 4095 | 0.07 | 2.24 | 0.72*** | 0.84*** | 0.67*** | 0.84*** | 6.48% | −0.13% |
| South Korea | 18,575 | 702 | 6575 | 3422 | 0.75 | 3.65 | 0.76*** | 0.62*** | 0.62*** | 0.69*** | 3.92% | 0.21% |
| Germany | 11,504 | 871 | 4654 | 2772 | 0.36 | 1.78 | 0.79*** | 0.93*** | 0.73*** | 0.90*** | 2.77% | 0.26% |
| United Kingdom | 48,990 | 3936 | 17,452 | 11,110 | 1.02 | 3.08 | 0.82*** | 0.93*** | 0.77*** | 0.94*** | 10.40% | 0.38% |
| United States | 28,566 | 6972 | 14,994 | 5019 | 0.45 | 2.26 | 0.69*** | 0.90*** | 0.68*** | 0.89*** | 8.94% | 0.34% |
Remarks: The table above reports the summary statistics for the monthly visitor arrivals by air transport from New Zealand's eight main tourist source markets. The table also presents autocorrelations of order 1 (Q(1)) and order 12 (Q(12)), and autocorrelations of the squared residuals of an AR(1) model of order 1 (Q2(1)) and order 4 (Q2(12)). The Ljung and Box, 1978 test statistics are significant at * p < 0.10, **p < 0.05 and ***p < 0.01.