Example of orthogonal regression
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A medical equipment company wants to determine if their new blood pressure monitor is equivalent to a similar model on the market. They obtain systolic blood pressure readings on a random sample of 60 people using the two instruments. Based on a previously conducted study, the company knows that the error variance ratio is 0.90.

1    Open the worksheet BLOODPRESSURE.MTW.

2    Choose Stat > Regression > Orthogonal Regression.

3    In Response (Y), enter New.

4    In Predictor (X), enter Current.

5    In Error variance ratio (Y/X), enter 0.90.

6    Click OK.

Session window output

Orthogonal Regression Analysis: New versus Current

 

 

Error Variance Ratio (New/Current): 0.9

 

 

Regression Equation

New = 0.644 + 0.995 Current

 

 

Coefficients

 

Predictor     Coef  SE Coef        Z      P     Approx 95% CI

Constant   0.64441  1.74470   0.3694  0.712  (-2.77513, 4.06395)

Current    0.99542  0.01415  70.3461  0.000  ( 0.96769, 1.02315)

 

 

Error Variances

 

Variable  Variance

New        1.07856

Current    1.19840

Graph window output

Interpreting the results

0 is contained in the confidence interval for the intercept (-2.77513, 4.06395) and 1 is contained in the confidence interval for the slope (0.96769, 1.02315). Therefore, no evidence exists that the two instruments measure different things.  

 

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