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<strong>Answers</strong> <strong>to</strong> <strong>Simulations</strong> <strong>of</strong> <strong>the</strong> <strong>Rescorla</strong>-<strong>Wagner</strong> <strong>Model</strong><br />

<strong>Acquisition</strong><br />

Simulate five trials <strong>of</strong> acquisition (e.g., ToneFood). Assume that <strong>the</strong><br />

associative strength <strong>of</strong> <strong>the</strong> <strong>to</strong>ne begins at 0 and that k for <strong>the</strong> <strong>to</strong>ne = .4<br />

Trial ΔV<br />

<strong>to</strong>ne<br />

V<br />

<strong>to</strong>ne<br />

1 0.40 .40<br />

2 .24 .64<br />

3 .14 .78<br />

4 .09 .87<br />

5 .05 .92<br />

Extinction<br />

Simulate five trials <strong>of</strong> extinction (e.g., Toneno Food). Assume that <strong>the</strong><br />

associative strength <strong>of</strong> <strong>the</strong> <strong>to</strong>ne begins at 1 and that k for <strong>the</strong> <strong>to</strong>ne = .4<br />

Trial ΔV V <strong>to</strong>ne<br />

<strong>to</strong>ne<br />

1 -0.40 .60<br />

2 -.24 .36<br />

3 -.14 .22<br />

4 -.09 .13<br />

5 -.05 .08


Blocking<br />

Group Exp: Simulate five Phase 1 trials (AUS) followed by five Phase<br />

2 trials <strong>of</strong> blocking (e.g., ABUS). Assume that k A = .3 and k B = .3.<br />

Also assume that <strong>the</strong> associative strength <strong>of</strong> CSs A and B are initially 0.<br />

Keep in mind that <strong>the</strong> associative strength <strong>of</strong> CS A carries over from<br />

Phase 1 <strong>to</strong> Phase 2.<br />

Group Phase 1 Phase 2 Test B<br />

Exp AUS ABUS cr<br />

Con --- ABUS CR<br />

Phase 1<br />

Trial ΔV A V A<br />

1 0.30 .30<br />

2 .21 .51<br />

3 .15 .66<br />

4 .10 .76<br />

5 .07 .83<br />

Phase 2<br />

Trial ΔV A V A ΔV B V B<br />

1 0.05 .88 .05 .05<br />

2 .02 .90 .02 .07<br />

3 .01 .91 .01 .08<br />

4 .00 .91 .00 .08<br />

5 .00 .92 .00 .08


Control Group<br />

Group Control: Simulate five Phase 2 trials (e.g., ABUS). Assume that<br />

kA = .3 and k B = .3. Also assume that <strong>the</strong> associative strength <strong>of</strong> CSs<br />

A and B are initially 0. Keep in mind that <strong>the</strong> control group does not<br />

receive Phase 1 training.<br />

Phase 2<br />

Trial ΔV A V A ΔV B V B<br />

1 0.30 .30 0.30 .30<br />

2 .12 .42 .12 .42<br />

3 .05 .47 .05 .47<br />

4 .02 .49 .02 .49<br />

5 .01 .49 .01 .49<br />

Compare conditioning <strong>to</strong> CS B across <strong>the</strong> experimental and control<br />

groups. Why does CS B condition more in <strong>the</strong> control group relative <strong>to</strong><br />

<strong>the</strong> experimental group? Discuss in terms <strong>of</strong> surprise.


Overshadowing<br />

Simulate five trials <strong>of</strong> overshadowing for both <strong>the</strong> Overshadowing and<br />

Control Groups. Remember that <strong>the</strong> control group receives conditioning<br />

<strong>of</strong> CS B only. Assume that k A = .3 and k B = .1 (i.e., A is more salient<br />

than B). Assume that <strong>the</strong> associative strengths <strong>of</strong> CSs A and B are<br />

initially 0.<br />

Group Training Test Observe<br />

Overshadowing AbUS b cr<br />

Control bUS b CR<br />

Group Experimental<br />

Trial ΔV A V A ΔV B V B<br />

1 0.30 .30 0.10 .10<br />

2 .18 .48 .06 .16<br />

3 .11 .59 .04 .20<br />

4 .06 .65 .02 .22<br />

5 .04 .69 .01 .23


Group Control<br />

Trial ΔV A V A ΔV B V B<br />

1 n/a n/a 0.10 .10<br />

2 n/a n/a .09 .19<br />

3 n/a n/a .08 .27<br />

4 n/a n/a .07 .34<br />

5 n/a n/a .07 .41<br />

Compare conditioning <strong>to</strong> CS B across <strong>the</strong> overshadowing and control<br />

groups. Why does CS B condition more in <strong>the</strong> control group relative <strong>to</strong><br />

<strong>the</strong> overshadowing group? Discuss in terms <strong>of</strong> surprise.


Overexpectation<br />

Simulate five trials <strong>of</strong> overexpectation for <strong>the</strong> experimental group only.<br />

Assume that Phase 1 training (AUS, BUS training is complete). For<br />

this simulation simulate 5 trials <strong>of</strong> Phase 2 (ABUS). Assume that k A =<br />

.2 and k B = .2 and that <strong>the</strong> associative strength <strong>of</strong> both A and B are<br />

equal <strong>to</strong> 1 following Phase 1 (i.e., Va = 1 and Vb = 1).<br />

Group Phase 1 Phase 2 Test Observe<br />

Overexpectation A-->US / B-->US AB-->US b cr<br />

Control A-->US / B-->US no training b CR<br />

Group Overexpectation (Phase 2)<br />

Trial ΔV A V A ΔV B V B<br />

1 -.20 .80 -.20 .80<br />

2 -.12 .68 -.12 .68<br />

3 -.07 .61 -.07 .61<br />

4 -.04 .56 -.04 .56<br />

5 -.03 .54 -.03 .54<br />

How does <strong>the</strong> associative strength <strong>of</strong> CSs A and B change compared <strong>to</strong><br />

<strong>the</strong> control group (<strong>the</strong> associative strength <strong>of</strong> CSs A and B at <strong>the</strong> end <strong>of</strong><br />

Phase 1)? Why does CS B elicit a weaker conditioned response in <strong>the</strong><br />

Overexpectation group relative <strong>to</strong> <strong>the</strong> control group? Discuss in terms <strong>of</strong><br />

surprise.


O<strong>the</strong>r simulations:<br />

Be able <strong>to</strong> simulate and conceptualize <strong>the</strong> US-preexposure effect in<br />

terms <strong>of</strong> <strong>the</strong> <strong>Rescorla</strong>-<strong>Wagner</strong> model. Hint: it is <strong>the</strong> same as blocking<br />

except that <strong>the</strong> context acts as CS A.

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