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Exaggerates firm loses
Degredation Production Function
Underestimates firm gains
Improving Production Function
Overestimate change in profit with DEGREATION
Underestimates change in profit with IMPROVEMENT
predicts partial impact of change in E on q: q1-x0-q0
change in consumer surplus is change in profit
x (variable input) is endogenous
Production Function
predicts full impact of change in E on profit: pi1 - pi0
no endogeneity
Profit Function
predicts partial impact of change in E on C: C0-C1|q0
Overestimate change in profit with DEGREATION
Underestimates change in profit with IMPROVEMENT
change in producer surplus is equal to change in profit
q is endogenous
Cost Function
reduce bias from models with endogenous variables (correlated with error terms means biased coefficient estimates)
Why IV?
expected value = true value
Unbiased
predicted value approaches true value
Consistency (what IV gets)
Validity and Relevance
Assumption of IV variables
instrument does not belong in model or error term (exclusion restricion) aka exogenous
only impacts dependent (q) through endogenous variable (x)
Validity
instrument impacts endogenous variable
impacts strongly
Relevance
estat overid, high p = valid
Interpreting Validity
estat first stage, f stat 10+ = strong
Interpreting Relevance
allows us to control for unobserved effects by agent (ci) and time (ot)
xtreg, re/fe
Panel data models
treats unobserved effects as part of the error term
pros: more efficient (if variance estimated well)
cons: biased estimates if ci/ot if correlated with q, w, or E (endogenous)
Random Effects
treats unobserved effects as variables
pros: unbiased estimates if unobserved effects are endogenous
cons: less efficient estimates (still more than OLS)
Fixed Effects
Use random first, if Hausman test is low, use fixed effects
Panel data procedure
to detect endogeneity in estimates
when low, reject, there is endogenity, use FE
hausman fixed/random
Hausman test
FE/RE may be heteroskedastic or spatially/temporally correllated
use robust standard errors
Panel Data Error
Open-ended, payment card, dichotomous choice
Contingent Valuation Formats
pros: greatest precision
cons: protest votes, less incentive compatability
Open-ended
pros: intermediate precision
cons: anchoring (if cluster bids)
Payment card
prefered method
pros: most truthful (incentive compatability)
cons: least precise
Dichotomous choice
validity and reliability
CV Study Validation Concerns
Are predictions true?
Main concern
Validity
Precision
CV already does well
Reliability
Respondents strategically manipulate
Incentive compatability
Respondents fail to take questions seriously
Inconsequentiality
Content, Construct, Convergent, Criterion (increasing rigor)
Validity concepts
correct procedure followed
people make uninformed choices often
Content Validity
measure correlated with theory
scope test for theory validation
Construct Validity
compare meaure to measures of the same thing
CV (SP) estimates are slightly smaller than RP
Convergent Validity
compare measure to true value
use WTP not WTA (less hypothetical bias)
Criterion Validity
-(explanatory coeffs…)/(price coeff)
Logit coefficients maximum WTP
not log-odds
“how much does the likelihood of saying “yes” increase if initial price is $1 higher”
Logit margins
elasticity
“1% increase in income, probability of saying “yes” increases by x”
income elasticity is often less than one (inelastic)
Logit margins eyex
max WTP of households ($/time)
Logit wtpcikr
estat clas
predict pr command (mean is probability of saying yes)
Logit GOF
Hypothetical bias, incentive incompatability, inconsequentiality
CV study Criticisms
respondents do not understand or have information to answer well
Hypothetical bias
Point estimate, central tendency
reported by existing studies
administratively approved
Value transfer methods
find existing studies that estimate similar environmental change
Point estimate
calculate average of set of values
accuracy is limited if policy site is very different
Central tendency
demand/benefit function, meta-analysis
use or develop function
considered more accurate but need more data
Function transfer
out of sample fitted value
viewed as more accurate (more control)
need more data
Demand/benefit function
compile value estimates across a set of valuation studies
Meta-analysis
exponent
consider similarity of study sites
use to value change in E at policy site and have information from other site
Using income elasticities to adjust value transfers
WTP to reduce mortality risk
aggregate of group willingness
Value of a statistical life
health impacts productivity
values productivity of lost work so excludes non-market output
Human capital approach
WTP for reductions in risk
RP and SP methods
VSL
Welfare approach
not limited by observations (can estimate passion/future uses)
provide hicksian measures of CS and ES
CV is effective because…
SP methods (not based on observed behavior)
CV uses…
estat endogenous interpretation
high p = endogenous