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Rules	for	Trends
Downward
Upward
undifferentiated
Rules	for	Trends
Divide	the	number	of	data	points	above	
the	upper	CL	in	the	second	half	of	the	
assessment	by	the	total	number	of	data	
points	above	the	upper	CL	and	multiply	
by	100.
a. Upward	Trend:	result	is	greater	than	50%	
and	the	last	data	point	is	above	the	
upper	CL
i. Condition	is	differentiated
b. Downward	Trend:	result	is	less	than	40%
i. Condition	is	not	differentiated
Downward
Upward
undifferentiated
Rules	for	Trends
Divide	the	number	of	data	points	above	
the	upper	CL	in	the	second	half	of	the	
assessment	by	the	total	number	of	data	
points	above	the	upper	CL	and	multiply	
by	100.
a. Upward	Trend:	result	is	greater	than	50%	
and	the	last	data	point	is	above	the	
upper	CL
i. Condition	is	differentiated
b. Downward	Trend:	result	is	less	than	40%
i. Condition	is	not	differentiated
Downward
Upward
undifferentiated
Rules	for	Trends
Divide	the	number	of	data	points	above	
the	upper	CL	in	the	second	half	of	the	
assessment	by	the	total	number	of	data	
points	above	the	upper	CL	and	multiply	
by	100.
a. Upward	Trend:	result	is	greater	than	50%	
and	the	last	data	point	is	above	the	
upper	CL
i. Condition	is	differentiated
b. Downward	Trend:	result	is	less	than	40%
i. Condition	is	not	differentiated
Downward
Upward
undifferentiated
Rules	for	Trends
Divide	the	number	of	data	points	above	
the	upper	CL	in	the	second	half	of	the	
assessment	by	the	total	number	of	data	
points	above	the	upper	CL	and	multiply	
by	100.
a. Upward	Trend:	result	is	greater	than	50%	
and	the	last	data	point	is	above	the	
upper	CL
i. Condition	is	differentiated
b. Downward	Trend:	result	is	less	than	40%
i. Condition	is	not	differentiated
Downward
Upward
undifferentiated
Rules	for	Trends
Divide	the	number	of	data	points	above	
the	upper	CL	in	the	second	half	of	the	
assessment	by	the	total	number	of	data	
points	above	the	upper	CL	and	multiply	
by	100.
a. Upward	Trend:	result	is	greater	than	50%	
and	the	last	data	point	is	above	the	
upper	CL
i. Condition	is	differentiated
b. Downward	Trend:	result	is	less	than	40%
i. Condition	is	not	differentiated
Downward
Upward
undifferentiated
Rules	for	Trends
Downward
Upward
undifferentiated
Rules	for	Trends
If	there	is	a	downward trend in	tangible
and/or	demand conditions,	check	for	
efficient	rates	of	responding
1. Divide	60	by	the	number	of	seconds	an	
item	(tangible	condition)	or	break	
(demand	condition)	is	delivered.
2. If	the	average	rate	of	responding	in	the	
second	half	of	the	FA	is	at	or	above	the	
above	calculated	number,	the	condition	
is	differentiated
Downward
Upward
undifferentiated
Rules	for	Trends
If	there	is	a	downward trend in	tangible
and/or	demand conditions,	check	for	
efficient	rates	of	responding
1. Divide	60	by	the	number	of	seconds	an	
item	(tangible	condition)	or	break	
(demand	condition)	is	delivered.
2. If	the	average	rate	of	responding	in	the	
second	half	of	the	FA	is	at	or	above	the	
above	calculated	number,	the	condition	
is	differentiated
Downward
Upward
undifferentiated
Rules	for	Trends
If	there	is	a	downward trend in	tangible
and/or	demand conditions,	check	for	
efficient	rates	of	responding
1. Divide	60	by	the	number	of	seconds	an	
item	(tangible	condition)	or	break	
(demand	condition)	is	delivered.
2. If	the	average	rate	of	responding	in	the	
second	half	of	the	FA	is	at	or	above	the	
above	calculated	number,	the	condition	
is	differentiated
Downward
Upward
undifferentiated
Rules	for	Trends
Downward
Upward
undifferentiated
Rules	for	Trends
Overall	trends
Downward
Upward
undifferentiated
Rules	for	Trends
Overall	trends
• If	there	is	a	trend	in	the	play	condition	and	
other	conditions,	any	condition	
consistently	higher	than	the	play	condition	
is	differentiated
Downward
Upward
undifferentiated
Rules	for	Low-Rate	Behavior
Rules	for	Low-Rate	Behavior
• Low-Rate	Behavior	(i.e.,	most	data	points	are	at	near-zero	levels)
Rules	for	Low-Rate	Behavior
• Low-Rate	Behavior	(i.e.,	most	data	points	are	at	near-zero	levels)
1. Divide	the	number	of	sessions	above	a	response	rate	of	1.5	for	a	condition	
by	the	number	of	sessions	above	a	response	rate	of	1.5	across	all	conditions	
and	multiply	by	100.
Rules	for	Low-Rate	Behavior
• Low-Rate	Behavior	(i.e.,	most	data	points	are	at	near-zero	levels)
1. Divide	the	number	of	sessions	above	a	response	rate	of	1.5	for	a	condition	
by	the	number	of	sessions	above	a	response	rate	of	1.5	across	all	conditions	
and	multiply	by	100.	
2. Divide	the	number	of	high	rate	behaviors	for	a	condition	by	the	total	
number	of	high	rate	behaviors	across	all	conditions	and	multiply	by	100
Rules	for	Low-Rate	Behavior
• Low-Rate	Behavior	(i.e.,	most	data	points	are	at	near-zero	levels)
1. Divide	the	number	of	sessions	above	a	response	rate	of	1.5	for	a	condition	
by	the	number	of	sessions	above	a	response	rate	of	1.5	across	all	conditions	
and	multiply	by	100.	
2. Divide	the	number	of	high	rate	behaviors	for	a	condition	by	the	total	
number	of	high	rate	behaviors	across	all	conditions	and	multiply	by	100
3. The	condition	is	differentiated	if	both	of	the	following	are	true:
a. The	results	for	the	above	calculations	are	both	50%	or	above
Rules	for	Low-Rate	Behavior
• Low-Rate	Behavior	(i.e.,	most	data	points	are	at	near-zero	levels)
1. Divide	the	number	of	sessions	above	a	response	rate	of	1.5	for	a	condition	
by	the	number	of	sessions	above	a	response	rate	of	1.5	across	all	conditions	
and	multiply	by	100.	
2. Divide	the	number	of	high	rate	behaviors	for	a	condition	by	the	total	
number	of	high	rate	behaviors	across	all	conditions	and	multiply	by	100
3. The	condition	is	differentiated	if	both	of	the	following	are	true:
a. The	results	for	the	above	calculations	are	both	50%	or	above
b. At	least	one	high	rate	session	occurred	in	the	second	half	of	the	FA
Rules	for	Low	Magnitude	of	Effects
Rules	for	Low	Magnitude	of	Effects
• Low	Magnitude	of	Effects
Rules	for	Low	Magnitude	of	Effects
• Low	Magnitude	of	Effects
1. If	10%	of	points	are	above	the	upper	CL	by	only	a	small	amount	(e.g.,	within	
1	standard	deviation)	for	differentiated	conditions,	do	the	following:
Rules	for	Low	Magnitude	of	Effects
• Low	Magnitude	of	Effects
1. If	10%	of	points	are	above	the	upper	CL	by	only	a	small	amount	(e.g.,	within	
1	standard	deviation)	for	differentiated	conditions,	do	the	following:	
a. Apply	criteria	for	upward	trend	if	50%	of	these	points	are	in	the	second	half	of	the	FA
Rules	for	Low	Magnitude	of	Effects
• Low	Magnitude	of	Effects
1. If	10%	of	points	are	above	the	upper	CL	by	only	a	small	amount	(e.g.,	within	
1	standard	deviation)	for	differentiated	conditions,	do	the	following:	
a. Apply	criteria	for	upward	trend	if	50%	of	these	points	are	in	the	second	half	of	the	FA
b. Otherwise,	raise	the	upper	CL	by	20%	and	reanalyze	the	condition
Rules	for	Automatic	Reinforcement Automatic
Multiply	maintained
Rules	for	Automatic	Reinforcement
1. Calculate	the	mean	of	each	condition
2. Score	FA	as	automatic	if	any	of	the	following	
are	true:
a. Alone/ignore	is	the	highest	condition	and	higher	
than	play
b. Rates	of	behavior	are	higher	in	alone/ignore,	
attention	and/or	tangible
c. All	conditions	are	high	and	relatively	stable	with	
no	overall	trends
3. If	any	of	the	above	do	not	apply,	the	function	
cannot	be	automatic,	and	the	behavior	may	
be	multiply	maintained
Automatic
Multiply	maintained
Rules	for	Automatic	Reinforcement
1. Calculate	the	mean	of	each	condition
2. Score	FA	as	automatic	if	any	of	the	following	
are	true:
a. Alone/ignore	is	the	highest	condition	and	higher	
than	play
b. Rates	of	behavior	are	higher	in	alone/ignore,	
attention	and/or	tangible
c. All	conditions	are	high	and	relatively	stable	with	
no	overall	trends
3. If	any	of	the	above	do	not	apply,	the	function	
cannot	be	automatic,	and	the	behavior	may	
be	multiply	maintained
Automatic
Multiply	maintained
Rules	for	Automatic	Reinforcement
1. Calculate	the	mean	of	each	condition
2. Score	FA	as	automatic	if	any	of	the	following	
are	true:
a. Alone/ignore	is	the	highest	condition	and	higher	
than	play
b. Rates	of	behavior	are	higher	in	alone/ignore,	
attention	and/or	tangible
c. All	conditions	are	high	and	relatively	stable	with	
no	overall	trends
3. If	any	of	the	above	do	not	apply,	the	function	
cannot	be	automatic,	and	the	behavior	may	
be	multiply	maintained
Automatic
Multiply	maintained
Rules	for	Automatic	Reinforcement
1. Calculate	the	mean	of	each	condition
2. Score	FA	as	automatic	if	any	of	the	following	
are	true:
a. Alone/ignore	is	the	highest	condition	and	higher	
than	play
b. Rates	of	behavior	are	higher	in	alone/ignore,	
attention	and/or	tangible
c. All	conditions	are	high	and	relatively	stable	with	
no	overall	trends
3. If	any	of	the	above	do	not	apply,	the	function	
cannot	be	automatic,	and	the	behavior	may	
be	multiply	maintained
Automatic
Multiply	maintained
Rules	for	Automatic	Reinforcement
1. Calculate	the	mean	of	each	condition
2. Score	FA	as	automatic	if	any	of	the	following	
are	true:
a. Alone/ignore	is	the	highest	condition	and	higher	
than	play
b. Rates	of	behavior	are	higher	in	alone/ignore,	
attention	and/or	tangible
c. All	conditions	are	high	and	relatively	stable	with	
no	overall	trends
3. If	any	of	the	above	do	not	apply,	the	function	
cannot	be	automatic,	and	the	behavior	may	
be	multiply	maintained
Automatic
Multiply	maintained
Rules	for	Automatic	Reinforcement
1. Calculate	the	mean	of	each	condition
2. Score	FA	as	automatic	if	any	of	the	following	
are	true:
a. Alone/ignore	is	the	highest	condition	and	higher	
than	play
b. Rates	of	behavior	are	higher	in	alone/ignore,	
attention	and/or	tangible
c. All	conditions	are	high	and	relatively	stable	with	
no	overall	trends
3. If	any	of	the	above	do	not	apply,	the	function	
cannot	be	automatic,	and	the	behavior	may	
be	multiply	maintained
Automatic
Multiply	maintained
Rules	for	Multiple	Maintaining	Variables
Rules	for	Multiple	Maintaining	Variables	
• If	more	than	one	condition	meets	criteria	for	differentiation,	score	the	FA	is	
multiply	maintained
• If	one	of	the	differentiated	conditions	is	alone/ignore
1. Score	FA	as	automatic	if	highest	condition	is	alone/ignore	(previously	stated	in	
rules	for	Automatic	Reinforcement)
i. E.g.,	if	Ignore,	Attention	&	Tangible	are	all	differentiated,	but	the	level	of	Ignore	is	higher	
than	Attention	&	Tangible,	the	function	would	be	Automatic.
2. If	3	or	more	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	
the	conditions	but	not	the	highest,	score	as	differentiated	by	all	test	conditions	
instead	of	automatic.	
i. E.g.,	Ignore,	Tangible	&	Demand	are	all	differentiated,	but	the	level	of	Ignore	is	lower	than	
Tangible	&	Demand,	the	function	would	be	Tangible	&	Escape.
3. If	2	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	the	
conditions	but	not	the	highest,	score	as	automatic	and	the	other	condition.	
i. E.g.,	Demand	&	Ignore	are	differentiated,	and	the	level	of	Ignore	is	lower	than	Demand,	
the	function	would	be	Escape	&	Automatic.
Rules	for	Multiple	Maintaining	Variables	
• If	more	than	one	condition	meets	criteria	for	differentiation,	score	the	FA	is	
multiply	maintained
• If	one	of	the	differentiated	conditions	is	alone/ignore
1. Score	FA	as	automatic	if	highest	condition	is	alone/ignore	(previously	stated	in	
rules	for	Automatic	Reinforcement)
i. E.g.,	if	Ignore,	Attention	&	Tangible	are	all	differentiated,	but	the	level	of	Ignore	is	higher	
than	Attention	&	Tangible,	the	function	would	be	Automatic.
2. If	3	or	more	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	
the	conditions	but	not	the	highest,	score	as	differentiated	by	all	test	conditions	
instead	of	automatic.	
i. E.g.,	Ignore,	Tangible	&	Demand	are	all	differentiated,	but	the	level	of	Ignore	is	lower	than	
Tangible	&	Demand,	the	function	would	be	Tangible	&	Escape.
3. If	2	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	the	
conditions	but	not	the	highest,	score	as	automatic	and	the	other	condition.	
i. E.g.,	Demand	&	Ignore	are	differentiated,	and	the	level	of	Ignore	is	lower	than	Demand,	
the	function	would	be	Escape	&	Automatic.
Rules	for	Multiple	Maintaining	Variables	
• If	more	than	one	condition	meets	criteria	for	differentiation,	score	the	FA	is	
multiply	maintained
• If	one	of	the	differentiated	conditions	is	alone/ignore
1. Score	FA	as	automatic	if	highest	condition	is	alone/ignore	(previously	stated	in	
rules	for	Automatic	Reinforcement)
i. E.g.,	if	Ignore,	Attention	&	Tangible	are	all	differentiated,	but	the	level	of	Ignore	is	higher	
than	Attention	&	Tangible,	the	function	would	be	Automatic.
2. If	3	or	more	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	
the	conditions	but	not	the	highest,	score	as	differentiated	by	all	test	conditions	
instead	of	automatic.	
i. E.g.,	Ignore,	Tangible	&	Demand	are	all	differentiated,	but	the	level	of	Ignore	is	lower	than	
Tangible	&	Demand,	the	function	would	be	Tangible	&	Escape.
3. If	2	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	the	
conditions	but	not	the	highest,	score	as	automatic	and	the	other	condition.	
i. E.g.,	Demand	&	Ignore	are	differentiated,	and	the	level	of	Ignore	is	lower	than	Demand,	
the	function	would	be	Escape	&	Automatic.
Rules	for	Multiple	Maintaining	Variables	
• If	more	than	one	condition	meets	criteria	for	differentiation,	score	the	FA	is	
multiply	maintained
• If	one	of	the	differentiated	conditions	is	alone/ignore
1. Score	FA	as	automatic	if	highest	condition	is	alone/ignore	(previously	stated	in	
rules	for	Automatic	Reinforcement)
i. E.g.,	if	Ignore,	Attention	&	Tangible	are	all	differentiated,	but	the	level	of	Ignore	is	higher	
than	Attention	&	Tangible,	the	function	would	be	Automatic.
2. If	3	or	more	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	
the	conditions	but	not	the	highest,	score	as	differentiated	by	all	test	conditions	
instead	of	automatic.	
i. E.g.,	Ignore,	Tangible	&	Demand	are	all	differentiated,	but	the	level	of	Ignore	is	lower	than	
Tangible	&	Demand,	the	function	would	be	Tangible	&	Escape.
3. If	2	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	the	
conditions	but	not	the	highest,	score	as	automatic	and	the	other	condition.	
i. E.g.,	Demand	&	Ignore	are	differentiated,	and	the	level	of	Ignore	is	lower	than	Demand,	
the	function	would	be	Escape	&	Automatic.
Rules	for	Multiple	Maintaining	Variables	
• If	more	than	one	condition	meets	criteria	for	differentiation,	score	the	FA	is	
multiply	maintained
• If	one	of	the	differentiated	conditions	is	alone/ignore
1. Score	FA	as	automatic	if	highest	condition	is	alone/ignore	(previously	stated	in	
rules	for	Automatic	Reinforcement)
i. E.g.,	if	Ignore,	Attention	&	Tangible	are	all	differentiated,	but	the	level	of	Ignore	is	higher	
than	Attention	&	Tangible,	the	function	would	be	Automatic.
2. If	3	or	more	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	
the	conditions	but	not	the	highest,	score	as	differentiated	by	all	test	conditions	
instead	of	automatic.	
i. E.g.,	Ignore,	Tangible	&	Demand	are	all	differentiated,	but	the	level	of	Ignore	is	lower	than	
Tangible	&	Demand,	the	function	would	be	Tangible	&	Escape.
3. If	2	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	the	
conditions	but	not	the	highest,	score	as	automatic	and	the	other	condition.	
i. E.g.,	Demand	&	Ignore	are	differentiated,	and	the	level	of	Ignore	is	lower	than	Demand,	
the	function	would	be	Escape	&	Automatic.
Rules	for	Multiple	Maintaining	Variables	
• If	more	than	one	condition	meets	criteria	for	differentiation,	score	the	FA	is	
multiply	maintained
• If	one	of	the	differentiated	conditions	is	alone/ignore
1. Score	FA	as	automatic	if	highest	condition	is	alone/ignore	(previously	stated	in	
rules	for	Automatic	Reinforcement)
i. E.g.,	if	Ignore,	Attention	&	Tangible	are	all	differentiated,	but	the	level	of	Ignore	is	higher	
than	Attention	&	Tangible,	the	function	would	be	Automatic.
2. If	3	or	more	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	
the	conditions	but	not	the	highest,	score	as	differentiated	by	all	test	conditions	
instead	of	automatic.	
i. E.g.,	Ignore,	Tangible	&	Demand	are	all	differentiated,	but	the	level	of	Ignore	is	lower	than	
Tangible	&	Demand,	the	function	would	be	Tangible	&	Escape.
3. If	2	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	the	
conditions	but	not	the	highest,	score	as	automatic	and	the	other	condition.	
i. E.g.,	Demand	&	Ignore	are	differentiated,	and	the	level	of	Ignore	is	lower	than	Demand,	
the	function	would	be	Escape	&	Automatic.
Rules	for	Multiple	Maintaining	Variables	
• If	more	than	one	condition	meets	criteria	for	differentiation,	score	the	FA	is	
multiply	maintained
• If	one	of	the	differentiated	conditions	is	alone/ignore
1. Score	FA	as	automatic	if	highest	condition	is	alone/ignore	(previously	stated	in	
rules	for	Automatic	Reinforcement)
i. E.g.,	if	Ignore,	Attention	&	Tangible	are	all	differentiated,	but	the	level	of	Ignore	is	higher	
than	Attention	&	Tangible,	the	function	would	be	Automatic.
2. If	3	or	more	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	
the	conditions	but	not	the	highest,	score	as	differentiated	by	all	test	conditions	
instead	of	automatic.	
i. E.g.,	Ignore,	Tangible	&	Demand	are	all	differentiated,	but	the	level	of	Ignore	is	lower	than	
Tangible	&	Demand,	the	function	would	be	Tangible	&	Escape.
3. If	2	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	the	
conditions	but	not	the	highest,	score	as	automatic	and	the	other	condition.	
i. E.g.,	Demand	&	Ignore	are	differentiated,	and	the	level	of	Ignore	is	lower	than	Demand,	
the	function	would	be	Escape	&	Automatic.
Rules	for	Multiple	Maintaining	Variables	
• If	more	than	one	condition	meets	criteria	for	differentiation,	score	the	FA	is	
multiply	maintained
• If	one	of	the	differentiated	conditions	is	alone/ignore
1. Score	FA	as	automatic	if	highest	condition	is	alone/ignore	(previously	stated	in	
rules	for	Automatic	Reinforcement)
i. E.g.,	if	Ignore,	Attention	&	Tangible	are	all	differentiated,	but	the	level	of	Ignore	is	higher	
than	Attention	&	Tangible,	the	function	would	be	Automatic.
2. If	3	or	more	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	
the	conditions	but	not	the	highest,	score	as	differentiated	by	all	test	conditions	
instead	of	automatic.	
i. E.g.,	Ignore,	Tangible	&	Demand	are	all	differentiated,	but	the	level	of	Ignore	is	lower	than	
Tangible	&	Demand,	the	function	would	be	Tangible	&	Escape.
3. If	2	test	conditions	are	differentiated	from	play	and	alone/ignore	is	one	of	the	
conditions	but	not	the	highest,	score	as	automatic	and	the	other	condition.	
i. E.g.,	Demand	&	Ignore	are	differentiated,	and	the	level	of	Ignore	is	lower	than	Demand,	
the	function	would	be	Escape	&	Automatic.

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