Monotonic and Linear Relations between Growth of Quality vs Growth in Quantity in Open-Source Software Projects

Mathematical models have been developed to study the relation between the growth of quantity and the growth of quality of open-source collaborative software repositories of GitHub. GitHub events triggering the growth of quantity and quality have been identified. Linear regression analysis, Pearson’s, Spearman’s, and Kendall’s correlation coefficients have been used. Hypothesis testing has led to the conclusion that there may be a linear relation between quality and quantity within a certain range of values. Positive monotonic relations and dependency between quantity and quality have been strongly established. Scripts for automated testing have been developed.