Applications of experimental design techniques, through the use of diagnostic statistical functions and graphical methods, to identify the random error that could have occurred in the traditional decaying values of technetium-99

Objective: Use of Experimental Design Statistics to identify the random errors that are occurring in the established or traditional decaying values of the disintegrations of Technetium-99 per time. Methodology: Usage of the conventional Tc-99 data, and its subsequent graphing. Plotting of logarithmic transformations, to check the order the reaction law aimed at the identification of experimental errors. Adjusting time series regression diagnostic techniques and the Durbin-Watson statistic, to test for autocorrelation in the residuals in statistical regression analysis, to check for first order autocorrelation causing experimental errors. Results and discussions: The Tc-99 disintegrations are negatively autocorrelated, thus precluding precision of medical clinical applications. Conclusions: The disintegrations values are negatively autocorrelated, preventing precise measurements. The established decaying calculations have undetected experimental faults and are not in compliance with the Central Limit Theorem, which says that as the sample sizes get larger, the distribution of means calculated from repeated sampling will approach normality, thus preciseness. Recommendations: A revision of the established disintegration values is recommended by refining the laboratory techniques and/or by increasing the mean sample size to make the data more accurate.