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Pricing Policy Effectiveness is Domestic Water Demand Management

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Computations:<br />

Regression<br />

Dependent Variable: lnQ<br />

Independent Variables: lnQ_lag, Dgbt, lnT, ln_MP_IV, ln(AP/MP), Dmo, Dabt, lnNR, Dst, lnL, Dait, , Drt, lnW<br />

Variable Tested Coefficient S.E. Variance<br />

0.756<br />

MP 20 (3.514)<br />

-0.576<br />

AP/MP<br />

(-6.677)<br />

0.215 0.046225<br />

0.086 0.000740<br />

β1 – β2 = 0.756 – (-0.576)<br />

= 1.332<br />

S.D β1-β2 = (Var β1 + Var β2 – 2Cov β1, β2 )½<br />

= 0.230913 21<br />

t* = 1.332/0.230913<br />

t* = 5.768<br />

Conclusion: t* > 2 ; reject Ho.<br />

Conclude that k≠1. Consumers do not respond only to average price.<br />

[Note that a similar test cannot be used for the hypothes<strong>is</strong> that consumers respond only to MP (k=0). If the<br />

alternate hypothes<strong>is</strong> (k≠0) <strong>is</strong> false, it would not imply that consumers do not respond to AP. Average price has<br />

been introduced in the regression equation as a ratio of AP and MP. If the alternate hypothes<strong>is</strong> <strong>is</strong> false, we can<br />

only conclude that consumers do not respond to th<strong>is</strong> ratio: a conclusion with little practical significance.]<br />

Details<br />

Coefficients<br />

B SE t Sig.<br />

(Constant) -.588 .287 -2.050 .040<br />

Dmo -.031 .025 -1.235 .217<br />

Dgbt .042 .025 1.719 .086<br />

Drt .002 .024 .090 .929<br />

Dst .047 .023 2.085 .037<br />

Dabt .010 .023 .407 .684<br />

Dait .036 .024 1.457 .145<br />

lnT .156 .030 5.278 .000<br />

lnNR .020 .024 .850 .396<br />

lnW -.010 .011 -.907 .365<br />

lnL .087 .012 7.446 .000<br />

ln_MP_IV .756 .215 3.514 .000<br />

lnAP_MP -.576 .086 -6.677 .000<br />

20 The positive sign of MP coefficient <strong>is</strong> possibly due to multicollinearity between MP and AP/MP variables.<br />

21<br />

Cov β1, β2 = -rσ 2 /[(1-r 2 )√(Σx 1 2 Σx 2 2 )]<br />

24

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