Schedules of Reinforcement

Definition:

A formula (or rule) describing the probability that a given R will produce reinforcement; or, a formula describing the proportion of Rs that will be reinforced

Schedules are based on a continuum of probability values

ContingencyScheduleProbability of Sr

Every R Sr Continuous Sr (CRF) p =1.0

No Rs  Sr Extinction (EXT)p = 0

Some Rs  Sr Intermittent Sr (INT)0 < p < 1.0

Advantages of Intermittent Reinforcement

Prevents satiation: INT Sr maintains state of deprivation (EO)

Resistance to EXT: INT is less predictable than CRF; therefore; change to EXT more difficult to discriminate

Can produce high rates of R (more Rs required for Sr)

Naturalistic: Most schedules in natural environment are INT

Cost effective: Easier for agent to administer

Basic Schedule Parameters

Response requirement:

Ratio: Sr based on number of Rs

Interval: Sr based on time elapsed since last reinforced R

Regularity:

Fixed: Requirement constant between Sr deliveries

Variable: Requirement changes from one Sr delivery to another

Basic Schedules of Reinforcement

RatioInterval

(# of Rs)(Time since last reinforced R)

FixedFIXED RATIO (FR)FIXED INTERVAL (FI)

(Requirement Sr delivered followingSr delivered following 1st R

for Sr constant)fixed # of Rsafter fixed amt time since

last reinforced R

VariableVARIABLE RATIO (VR)VARIABLE INTERVAL (VR)

(RequirementSr delivered following Sr delivered following 1st R

for Sr changes)# Rs that varies aroundafter variable amt time since

an average valuelast reinforced R

Schedule Effects on Behavior

RatioInterval

(High R rate)(Moderate R rate)

FixedFIXED RATIO (FR)FIXED INTERVAL (FI)

(Irregular R rate)High, irregular rateModerate irregular rate

(“Break and run”)(“FI scallop”)

VariableVARIABLE RATIO (FR)VARIABLE INTERVAL (VI)

(Stable R rate)High stable rateModerate stable rate

Response Patterns Generated by Basic Schedules

DeLuca & Holborn (1992)

General Focus:

Application of behavioral principles to the treatment of childhood obesity

Specific Aims:

To increase rates of exercise

To determine whether VR schedules are more effective than FR and FI schedules

To use a changing criterion design to shape gradual increases in behavior

Procedures

Experimental Designs:

Changing Criterion (BL + 3 VR phases)

Reversal: A-B1-B2-B3-A-B3

Conditions:

Baseline: No special instructions or contingencies

Reinforcement (VR):

VR point schedule (+15% BL or previous phase)

VR signaled via bell and light

Points exchanged for backup Sr+ (based on survey)

Social Validity: Satisfaction, physical activity, appearance (Ss, patents, teachers)

Results

ParticipantBLVR#1VR#2VR#3BLVR#3

Scott (N)Stable∆++∆+∆+∆-∆++

Shawn (N)∆-∆++∆+∆++∆-∆++

Steve (N)∆-∆++∆+∆+∆-∆+

Peter (O)Stable∆++∆+∆++∆-∆++

Paul (O)Stable∆++∆+∆+∆-∆++

Perry (O)Stable∆++∆+∆+∆-∆+

Implications and Extensions

Major contribution: Interesting application of Sr schedules and changing criterion design as shaping procedure for increasing exercise behavior

Limitations:

Was performance under VR better than under FR or FI?

Were criterion increases necessary?

Other indices of improvement?

Extensions:

IV: Schedule questions unanswered

DV: Additional measures of benefit

DV: Other forms of exercise (convenience)

DV: Other behaviors related to obesity

Population or setting