Elementary biophysics: selected topics elementarybiophy00epst Year: 1963 18 THE MATHEMATICAL TREATMENT OF DATA Fig. 7. A plot of some experimental data and a line which is to be tested by the chi-squared criterion for its goodness of fit to the data. The plot of the data and the theoretical curve are shown in Fig. 7. The theoretical curve was derived by methods to be discussed in a later section. The equation is yth = — + The values of yexp and yth at the experimental values of x are x = 1 2 3 4 5 2/th = z/exp =21547 The deviations are, for the straight line,
Elementary biophysics: selected topics elementarybiophy00epst Year: 1963 18 THE MATHEMATICAL TREATMENT OF DATA Fig. 7. A plot of some experimental data and a line which is to be tested by the chi-squared criterion for its goodness of fit to the data. The plot of the data and the theoretical curve are shown in Fig. 7. The theoretical curve was derived by methods to be discussed in a later section. The equation is yth = — + The values of yexp and yth at the experimental values of x are x = 1 2 3 4 5 2/th = z/exp =21547 The deviations are, for the straight line, (2 - ), (1 - ), (5 - - ), (4 - - ), and (7 - - ). Their chi squared is then given by X' . . = = ' + + + There are five measurements, and we have chosen the two parameters of the straight line (the intercept on the y-axis and the slope of the line) to make a best fit, so there arc only three independent measurements. Looking at the chi-squared table, we see that for three independent measurements we could get a chi squared of or more in one of each
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