Modified chi-square test of goodness of fit (MCSTGF) based on least square method: An application to water transportation

Friday Zinzendoff Okwonu, Nor Aishah Ahad, Festus Irimisose Arunaye, Malina Zulkifli, Zahayu Md Yusof · AIP conference proceedings · 2023

This paper is designed to investigate the expected drive time from the source (Dolphin and Ugbuwangwe jetty) to the destination (Kurutie jetty) in Gbaramatu kingdom. The chi-square goodness of fit test and the proposed modified Chi square test goodness of fit (MCSTGF) are applied to determine the expected drive time from source to destination. The Pearson correlation technique was used to investigate the strength of association between the computed expected drive time and the observed drive time. The results based on the hypothesis revealed that the expected drive time from source to destination with Yamaha 115hp is less than one hour (49 minutes) and more than one hour (95.1 minutes) with Yamaha 90hp. The finding demonstrated that the expected drive time between 49 minutes and 95.1 minutes depends on the capacity of the speed boat engine. The results showed that the computed expected drive time of the MCSTGF method and the observed drive time could be used effectively to determine the strength of association. The study inferred that there is a very weak positive association (.. = 0.021) and (.. = 0.021) for study conditions one and two based on the MCSTGF method whereas the computed expected drive time from the conventional chi-square method and the observed drive time indicates that there is no correlation

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