Question

# Is an autocorrelation test appropriate for your data? If so, perform one or more tests of the residuals (eyeball inspection of residual plot against observation order, runs test, and/or DurbinWatson test).

Solution

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For this exercise, we are to check if an autocorrelation test is appropriate for the data set given the table below.

$\text{\small{Table 1. Residuals and standardized residuals.}}$

Observation Predicted ALOS Residuals Standardized Residuals
$1$ $11.3221$ $-1.3221$ $-0.5998$
$2$ $5.1465$ $-3.1465$ $-1.4274$
$3$ $8.2343$ $-4.2343$ $-1.9209$
$4$ $12.8661$ $-1.8661$ $-0.8465$
$5$ $8.2343$ $2.7657$ $1.2547$
$6$ $9.7782$ $1.2218$ $0.5543$
$7$ $6.6904$ $-0.1904$ $-0.0864$
$8$ $5.6611$ $-0.6611$ $-0.2999$
$9$ $6.6904$ $1.3096$ $0.5941$
$10$ $12.8661$ $3.1339$ $1.4217$
$11$ $7.7197$ $-1.2197$ $-0.5533$
$12$ $5.1465$ $0.8535$ $0.3872$
$13$ $4.1172$ $-0.6172$ $-0.2800$
$14$ $6.6904$ $3.3096$ $1.5014$
$15$ $8.2343$ $-1.2343$ $-0.5599$
$16$ $3.6025$ $1.8975$ $0.8608$

What are tests to check for autocorrelation?

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