Abbreviated Interrupted Time-Series - Institute for Policy Research
Abbreviated Interrupted Time-Series - Institute for Policy Research
Abbreviated Interrupted Time-Series - Institute for Policy Research
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Adjusting <strong>for</strong> Autocorrelation<br />
• NCLB State Contrast<br />
• Option 1:<br />
– HLM model can control <strong>for</strong> autocorrelation<br />
Level 1:<br />
Y<br />
ti<br />
= γ + γ<br />
( year × policy)<br />
+ ε<br />
0i<br />
Level 2:<br />
γ<br />
0 i<br />
=<br />
β<br />
β<br />
00<br />
+ β<br />
1i<br />
( year)<br />
ti<br />
+ γ<br />
2i<br />
( policy)<br />
ti<br />
+ γ<br />
3i<br />
01<br />
( group<br />
( pupil _ teacher _ ratio ) + τ<br />
)<br />
i<br />
+ β<br />
03<br />
1 i<br />
= β10<br />
+ β11( group)<br />
i<br />
τ<br />
1i<br />
2<br />
= β<br />
20<br />
+ β<br />
21<br />
)<br />
i<br />
γ +<br />
γ<br />
i<br />
( group + τ<br />
2<br />
γ β β ( + τ<br />
3 i<br />
=<br />
30<br />
+<br />
31<br />
group)<br />
i 3i<br />
02<br />
( percent _ free _ lunch ) +<br />
i<br />
0i<br />
ti<br />
ti