Use the Runs Test to Determine Whether the Given Sequence

question 33

Essay

Use the runs test to determine whether the given sequence is random. Use a significance level of 0.05. Test the sequence of digits below for randomness above and below the value of 4.5. $\begin{array} { l l l l l l l l l l } 0 & 4 & 7 & 3 & 6 & 0 & 9 & 7 & 4 & 8 \\7 & 2 & 8 & 5 & 7 & 3 & 9 & 6 & 4 & 6 \\4 & 7 & 9 & 1 & 6 & 1 & 9 & 5 & 8 & 3 \\7 & 8 & 5 & 7 & 3 & 5 & 2 & 9 & 3 & 8\end{array}$

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Definitions:

Repeated Measures

Repeated measures involve using the same subjects or participants in an experiment to test a variable under different conditions or at different times, reducing variability caused by different individual characteristics.

Latin Square

A design technique in statistics for experiments with two blocking factors where each variable appears exactly once in each row and column.

Complete Counterbalancing

An experimental design technique where all possible orders of presenting stimuli are used to control for order effects.

Matched Pairs Design

A method of assigning subjects to groups in which pairs of subjects are first matched on some characteristic and then individually assigned randomly to groups.