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The Effect of Free Personal Care
for the Elderly on Informal Caregiving
Sarah Karlsberg Schaffer
Workshop on the Economics of Long-Term Care
Brocher Foundation
Geneva • 16-17 December 2013
Agenda
•

Introduction & background to policy of Free Personal Care
(FPC) for elderly

•

Modelling framework: preference of carers

•

Data: British Household Panel Survey, 1996–2008

•

Results
− Participation in informal care
− Intensity of informal care

•

Conclusions & discussion

16/12/2013
Introduction
•

2002: Scotland introduces FPC for elderly

•

Forms natural experiment
−

Allows difference-in-differences approach to be used, with rest of UK
(RUK) as control group

•

This study: what was the effect of this policy on the supply of
informal care?

•

Informal care: care provided by friends or family for free

•

Around 6.5 million informal carers in the UK

•

Definitions:
−

Caregiver = carer/child

−

Care recipient = caree/parent

16/12/2013
Background to policy
•

1999: Scottish devolution

•

2002: Scottish parliament introduces FPC for elderly (aged
65+) in nursing home or in own home

•

No change to RUK policy

•

Personal care defined by Scottish Executive as:
−

•

Flat rate payment of £145 per week
−

•

“… care which relates to the day to day physical tasks and needs of
the person cared for (for example, … eating and washing) and to
mental processes related to those tasks (for example, …
remembering to eat and wash)”

Additional £65 per week if in nursing home

Popular policy with high and increasing costs

16/12/2013
Modelling framework (1)
•
•

Model focuses on trade-off between labour supplied for
informal care versus other uses of carer’s time
“Child’s” utility function: 𝑢𝑢 𝑐𝑐 = 𝑢𝑢 𝑐𝑐 (𝑢𝑢 𝑝𝑝 , 24 − ℎ)
−
−

•

𝑢𝑢 𝑝𝑝 = “parent’s” utility

ℎ = hours of informal care

Parent’s utility function:

−
−

� 𝑝𝑝 𝑖𝑖 𝑖𝑖 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑟𝑟 𝑟𝑟𝑟𝑟 𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐 𝑖𝑖 𝑖𝑖 𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛 ℎ𝑜𝑜𝑜𝑜𝑜𝑜
𝑢𝑢 𝑁𝑁
𝑢𝑢 𝑝𝑝 = � 𝐻𝐻
𝑢𝑢 𝑝𝑝 ℎ, 𝑓𝑓 𝑖𝑖 𝑖𝑖 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑟𝑟 𝑟𝑟𝑟𝑟 𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐 𝑎𝑎𝑎𝑎 ℎ𝑜𝑜𝑜𝑜𝑜𝑜
𝑓𝑓 = hours of formal care

𝐻𝐻
𝜕𝜕2 𝑢𝑢 𝑝𝑝

𝜕𝜕ℎ2

< 0: diminishing returns of hours of informal care
16/12/2013
Modelling framework (2)
•

Additional assumptions:
−
−

No formal care at home before policy change

−

Ignore other uses of carer’s time (e.g. labour supply)

−

•

No informal care in nursing home

Ignore money (& thus ability to buy additional care in
home)

Child chooses 𝑚𝑚𝑚𝑚𝑚𝑚 𝑢𝑢 𝑐𝑐 𝑢𝑢 𝑝𝑝 ℎ∗ , 0 , ℎ∗ , 𝑢𝑢 𝑐𝑐 � 𝑝𝑝 , 0 , where ℎ∗ is
𝑢𝑢 𝑁𝑁
the utility-maximising ℎ, given the choice of 𝐻𝐻

16/12/2013
Pre-policy solutions

16/12/2013
The shift in the PPF

16/12/2013
Post-policy solutions

16/12/2013
Data
•

British Household Panel Survey (BHPS): 1996–2008

•

Survey asks:
−
−
−

Do you provide co-residential care?
Do you provide extra-residential care?
How many hours of care do you provide per week?
–

Intervals of 0-4, 5-9, 10-19, 20-34, 35-49, 50-99, 100+

•

Combine two types of care (helps with small Scottish
sample size)

•

No information on age of caree
−

Most common carer-caree relationship is between middleaged children and parents

−

Sample: aged 45+, no children in household

16/12/2013
Participation: methodology
•
•

p∗ = δt + φS + 𝛄𝛄(t ∗ S) + α𝑋𝑋𝑖𝑖 𝑖𝑖 + εit
it
Probit and LPM regressions
−
−

p∗ = latent probability that individual i supplies care in
it
period t
t = observation from 2002 or later

𝑋𝑋𝑖𝑖 𝑖𝑖 = vector of personal characteristics

−

S = observation from Scotland

−

𝛄𝛄 = difference in differences coefficient of interest

−

16/12/2013
Participation: results
(1)
Probit

(2)
Probit

(3)
LPM

(4)
LPM

0.0514***

0.0480***

0.0522***

0.0487***

(3.29)

(3.22)

(3.40)

(3.34)

-0.0111

-0.0122

-0.0111

-0.0123

(-0.78)

(-0.87)

(-0.78)

(-0.90)

-0.0155**

-0.0135**

-0.0154**

-0.0126*

(-2.35)

(-1.98)

(-2.35)

(-1.92)

Observations

60122

55155

60122

57424

R2 /Pseudo R2

0.000

0.017

0.000

0.119

No

Yes

No

Yes

Treat

Scotland

After

Controls

Marginal effects; t statistics in parentheses.
* p<0.10, ** p<0.05, *** p<0.01.

16/12/2013
Participation: interpretation
•

Similar results across specifications: policy associated
with an increase in care participation of ~5 percentage
points

•

Perhaps surprising… but interpret in context of model
−

Suggests some individuals had preferences similar to
those represented by blue indifference curves

−

Before policy: max utility by providing no care

−

After policy: max utility by supplementing care supplied
by state

−

Policy allowed more elderly people to stay in their own
homes
16/12/2013
Intensity: methodology
•
•

p∗ = δt + φS + γ(t ∗ S) + α𝑋𝑋𝑖𝑖 𝑖𝑖 + εit
it

This time, define p∗ as set of 6 binary indicators:
it
−

Probability of supplying 5+, 10+, 20+, 35+, 50+, 100+
hours per week

•

Avoids problems of selection bias & data intervals

•

Allows identification of distributional effects

16/12/2013
Intensity: results
(1)

(3)

(4)

(5)

(6)

(7)

Participation
Treat

(2)
5+

10+

20+

35+

50+

100+

0.0480***

0.0273** 0.0086

0.0014

-0.0001

-0.0007

-0.0011

(-0.01)

(-0.13)

(-0.23)

0.0127** 0.0108**

0.0094**

(3.22)

(2.45)

(0.94)

(0.07)

-0.0122

0.0086

0.0117

0.0146**

(-0.87)

(0.80)

(1.36)

(2.26)

(2.51)

(2.31)

(2.15)

-0.0135**

0.0023

0.0045

0.0026

0.0024

0.0017

0.0018

(-1.98)

(0.44)

(1.04)

(0.73)

(0.81)

(0.64)

(0.73)

Obs

55155

55729

55729

55715

55701

55701

55668

Pseudo R2

0.017

0.061

0.070

0.089

0.110

0.114

0.117

Yes

Yes

Yes

Yes

Yes

Yes

Yes

Scotland

After

Controls

Probit marginal effects; t statistics in parentheses.
* p<0.10, ** p<0.05, *** p<0.01.

16/12/2013
Intensity: interpretation
•

Increase in probability of supplying 5+ hours of ~ 3
percentage points

•

No statistically significant results elsewhere in distribution
(negative trend appearing  possible “income effect”)

•

Those who entered care supply did so at low end of
distribution

•

Suggests move from tails to middle of distribution

16/12/2013
Conclusions
•

Concern that policy would “crowd out” informal care

•

This paper finds opposite effect
−
−
−

•

Those who entered care supply did so at low end of
distribution
−

•

Evidence that formal and informal care act as complements
(not substitutes) in this case
Special circumstances: policy increased state provision of care
in the home
Estimated 90,000 people opting into care supply

Potentially substantial welfare gains, assuming

𝐻𝐻
𝜕𝜕2 𝑢𝑢 𝑝𝑝

𝜕𝜕ℎ2

<0

Whether gains outweigh costs is a topic for future work

16/12/2013
About OHE
To enquire about additional information and analyses, please contact Sarah Karlsberg Schaffer at
sschaffer@ohe.org
To keep up with the latest news and research, subscribe to our blog, OHE News.
Follow us on Twitter @OHENews, LinkedIn and SlideShare.

The Office of Health Economics is a research and consulting organisation that has been providing
specialised research, analysis and expertise on a range of health care and life sciences issues and
topics for 50 years.

OHE’s publications may be downloaded free of charge for registered users of its website.
Office of Health Economics
Southside, 7th Floor
105 Victoria Street
London SW1E 6QT
United Kingdom
+44 20 7747 8850
www.ohe.org

©2013 OHE

16/12/2013

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The Effect of Free Personal Care for the Elderly on Informal Caregiving

  • 1. The Effect of Free Personal Care for the Elderly on Informal Caregiving Sarah Karlsberg Schaffer Workshop on the Economics of Long-Term Care Brocher Foundation Geneva • 16-17 December 2013
  • 2. Agenda • Introduction & background to policy of Free Personal Care (FPC) for elderly • Modelling framework: preference of carers • Data: British Household Panel Survey, 1996–2008 • Results − Participation in informal care − Intensity of informal care • Conclusions & discussion 16/12/2013
  • 3. Introduction • 2002: Scotland introduces FPC for elderly • Forms natural experiment − Allows difference-in-differences approach to be used, with rest of UK (RUK) as control group • This study: what was the effect of this policy on the supply of informal care? • Informal care: care provided by friends or family for free • Around 6.5 million informal carers in the UK • Definitions: − Caregiver = carer/child − Care recipient = caree/parent 16/12/2013
  • 4. Background to policy • 1999: Scottish devolution • 2002: Scottish parliament introduces FPC for elderly (aged 65+) in nursing home or in own home • No change to RUK policy • Personal care defined by Scottish Executive as: − • Flat rate payment of £145 per week − • “… care which relates to the day to day physical tasks and needs of the person cared for (for example, … eating and washing) and to mental processes related to those tasks (for example, … remembering to eat and wash)” Additional £65 per week if in nursing home Popular policy with high and increasing costs 16/12/2013
  • 5. Modelling framework (1) • • Model focuses on trade-off between labour supplied for informal care versus other uses of carer’s time “Child’s” utility function: 𝑢𝑢 𝑐𝑐 = 𝑢𝑢 𝑐𝑐 (𝑢𝑢 𝑝𝑝 , 24 − ℎ) − − • 𝑢𝑢 𝑝𝑝 = “parent’s” utility ℎ = hours of informal care Parent’s utility function: − − � 𝑝𝑝 𝑖𝑖 𝑖𝑖 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑟𝑟 𝑟𝑟𝑟𝑟 𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐 𝑖𝑖 𝑖𝑖 𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛𝑛 ℎ𝑜𝑜𝑜𝑜𝑜𝑜 𝑢𝑢 𝑁𝑁 𝑢𝑢 𝑝𝑝 = � 𝐻𝐻 𝑢𝑢 𝑝𝑝 ℎ, 𝑓𝑓 𝑖𝑖 𝑖𝑖 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑟𝑟 𝑟𝑟𝑟𝑟 𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐 𝑎𝑎𝑎𝑎 ℎ𝑜𝑜𝑜𝑜𝑜𝑜 𝑓𝑓 = hours of formal care 𝐻𝐻 𝜕𝜕2 𝑢𝑢 𝑝𝑝 𝜕𝜕ℎ2 < 0: diminishing returns of hours of informal care 16/12/2013
  • 6. Modelling framework (2) • Additional assumptions: − − No formal care at home before policy change − Ignore other uses of carer’s time (e.g. labour supply) − • No informal care in nursing home Ignore money (& thus ability to buy additional care in home) Child chooses 𝑚𝑚𝑚𝑚𝑚𝑚 𝑢𝑢 𝑐𝑐 𝑢𝑢 𝑝𝑝 ℎ∗ , 0 , ℎ∗ , 𝑢𝑢 𝑐𝑐 � 𝑝𝑝 , 0 , where ℎ∗ is 𝑢𝑢 𝑁𝑁 the utility-maximising ℎ, given the choice of 𝐻𝐻 16/12/2013
  • 8. The shift in the PPF 16/12/2013
  • 10. Data • British Household Panel Survey (BHPS): 1996–2008 • Survey asks: − − − Do you provide co-residential care? Do you provide extra-residential care? How many hours of care do you provide per week? – Intervals of 0-4, 5-9, 10-19, 20-34, 35-49, 50-99, 100+ • Combine two types of care (helps with small Scottish sample size) • No information on age of caree − Most common carer-caree relationship is between middleaged children and parents − Sample: aged 45+, no children in household 16/12/2013
  • 11. Participation: methodology • • p∗ = δt + φS + 𝛄𝛄(t ∗ S) + α𝑋𝑋𝑖𝑖 𝑖𝑖 + εit it Probit and LPM regressions − − p∗ = latent probability that individual i supplies care in it period t t = observation from 2002 or later 𝑋𝑋𝑖𝑖 𝑖𝑖 = vector of personal characteristics − S = observation from Scotland − 𝛄𝛄 = difference in differences coefficient of interest − 16/12/2013
  • 13. Participation: interpretation • Similar results across specifications: policy associated with an increase in care participation of ~5 percentage points • Perhaps surprising… but interpret in context of model − Suggests some individuals had preferences similar to those represented by blue indifference curves − Before policy: max utility by providing no care − After policy: max utility by supplementing care supplied by state − Policy allowed more elderly people to stay in their own homes 16/12/2013
  • 14. Intensity: methodology • • p∗ = δt + φS + γ(t ∗ S) + α𝑋𝑋𝑖𝑖 𝑖𝑖 + εit it This time, define p∗ as set of 6 binary indicators: it − Probability of supplying 5+, 10+, 20+, 35+, 50+, 100+ hours per week • Avoids problems of selection bias & data intervals • Allows identification of distributional effects 16/12/2013
  • 15. Intensity: results (1) (3) (4) (5) (6) (7) Participation Treat (2) 5+ 10+ 20+ 35+ 50+ 100+ 0.0480*** 0.0273** 0.0086 0.0014 -0.0001 -0.0007 -0.0011 (-0.01) (-0.13) (-0.23) 0.0127** 0.0108** 0.0094** (3.22) (2.45) (0.94) (0.07) -0.0122 0.0086 0.0117 0.0146** (-0.87) (0.80) (1.36) (2.26) (2.51) (2.31) (2.15) -0.0135** 0.0023 0.0045 0.0026 0.0024 0.0017 0.0018 (-1.98) (0.44) (1.04) (0.73) (0.81) (0.64) (0.73) Obs 55155 55729 55729 55715 55701 55701 55668 Pseudo R2 0.017 0.061 0.070 0.089 0.110 0.114 0.117 Yes Yes Yes Yes Yes Yes Yes Scotland After Controls Probit marginal effects; t statistics in parentheses. * p<0.10, ** p<0.05, *** p<0.01. 16/12/2013
  • 16. Intensity: interpretation • Increase in probability of supplying 5+ hours of ~ 3 percentage points • No statistically significant results elsewhere in distribution (negative trend appearing  possible “income effect”) • Those who entered care supply did so at low end of distribution • Suggests move from tails to middle of distribution 16/12/2013
  • 17. Conclusions • Concern that policy would “crowd out” informal care • This paper finds opposite effect − − − • Those who entered care supply did so at low end of distribution − • Evidence that formal and informal care act as complements (not substitutes) in this case Special circumstances: policy increased state provision of care in the home Estimated 90,000 people opting into care supply Potentially substantial welfare gains, assuming 𝐻𝐻 𝜕𝜕2 𝑢𝑢 𝑝𝑝 𝜕𝜕ℎ2 <0 Whether gains outweigh costs is a topic for future work 16/12/2013
  • 18. About OHE To enquire about additional information and analyses, please contact Sarah Karlsberg Schaffer at sschaffer@ohe.org To keep up with the latest news and research, subscribe to our blog, OHE News. Follow us on Twitter @OHENews, LinkedIn and SlideShare. The Office of Health Economics is a research and consulting organisation that has been providing specialised research, analysis and expertise on a range of health care and life sciences issues and topics for 50 years. OHE’s publications may be downloaded free of charge for registered users of its website. Office of Health Economics Southside, 7th Floor 105 Victoria Street London SW1E 6QT United Kingdom +44 20 7747 8850 www.ohe.org ©2013 OHE 16/12/2013