F distribution tables

Hammett s constant represents 89.82% of the variance in the linear regression equation. The F test showed that the level of significance of ELUMO and activation energy with a degree of freedom of 1,2 was 0.01. Because the calculated F is 105.95 and is larger than the F(1 2)0995 value of 98.5 from the F distribution table, the null hypothesis is rejected therefore, the chance of erroneously concluding that they are related is only 1% ... 

Thus, SE(ai) = and SE(af) = Now returning to Equation (B.3.1), T is the experimental deviation over the standard error and if this value is larger than the value in a Student s F-distribution table (see any text on statistics for this table) for a given degree of confidence, for example, 95 percent (7 xp = expected deviation/standard error), then the hypothesis is rejected, that is, the y-intercept is significantly different than zero. If < t xp then the hypothesis is accepted and dij can be reported as ... 

The F distribution (Table C) is used in this procedure, instead of the t table, where... 

Step 4 Decision rule The ANCOVA uses an F-test (Table C, the F distribution table). 

F-distribution tables are given for F(crit) values, that arc equaled or exceeded a certain percentage of the time by chance alone, see Table A5. The F(crit) value cuts off an upper area under the F distribution curve that is equal to a, and if F(calc) falls in this cutoff region, then the null hypothesis is rejected. Tables of F values arc arranged for different... 

To test the null hypothesis at the 95 percent confidence level, obtain the values of Fq o25(9, 20) and Fq 9, 20) for this example from the F distribution tables. Therefore, the interval of acceptance is given by... 

F = F-value from the F distribution Tables (F-ratio Tables) at a required confidence level and at DOF 1 and error DOF 8 (Roy (1990))... 

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