Question

Apply runs test to the following sequence:
1001101000010000101111011
0111010010110110010011010
0110011100001100100111000
1100001101010111101001110
0010001111000001101010010
1000110100000110100101101
1110001001

04 Dec 2023
Answer :
Word Count : 697
The runs test is a non-parametric statistical test that assesses the randomness of a binary sequence. In this test, a "run" is a sequence of consecutive identical bits (either 0s or 1s). To apply the runs test to the given sequence: \[ 1001101000010000101111011 \] \[ 0111010010110110010011010 \] \[ 0110011100001100100111000 \] \[ 1100001101010111101001110 \] \[ 0010001111000001101010010 \] \[ 1000110100000110100101101 \] \[ 1110001001 \] Step 1: Count the runs in the sequence. A run starts when there is a change from 0 to 1 or from 1 to 0. \[ \text{Runs:} \] \[ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, ______ ______ _______ _________ ________.
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