Type: test statistic
Measurement level: Correlate: metric, Happiness: metric
Theoretical range: unlimited

Meaning:  
b > 0   A higher correlate level corresponds with a higher happiness rating on average.
B < 0   A higher correlate level corresponds with a lower happiness rating on average.
B = 0   Not any correlation with the relevant correlate.

Type: test statistic
Measurement level: Correlate: metric, Happiness: metric
Theoretical range: unlimited

Meaning:  
b > 0   A higher correlate level corresponds with a higher happiness rating on average.
B < 0   A higher correlate level corresponds with a lower happiness rating on average.
B = 0   Not any correlation with the relevant correlate.

Only the sign of the computed coefficient is informative.

Happiness is an ordered categorical variable. Higher categories correspond to being more happy.

OPRC < 0 indicates that the probability of being beyond a chosen happiness category decreases and the probability of being at or below that category increases when

1) the corresponding metric correlate increases
2) the corresponding category of a categorical correlate is compared to the reference category.

OLRC > 0 indicates that the probability of being beyond a chosen happiness category
increases and the probablity of being at or below that category decreases when

1) the corresponding metric correlate increases
2) the corresponding category of a categorical correlate is compared to the reference category.

Only the sign of the computed coefficient is informative.

Happiness is an ordered categorical variable. Higher categories correspond to being more happy.

OPRC < 0 indicates that the probability of being beyond a chosen happiness category decreases and the probability of being at or below that category increases when

1) the corresponding metric correlate increases
2) the corresponding category of a categorical correlate is compared to the reference category.

OLRC > 0 indicates that the probability of being beyond a chosen happiness category
increases and the probablity of being at or below that category decreases when

1) the corresponding metric correlate increases
2) the corresponding category of a categorical correlate is compared to the reference category.

Type: test statistic.
Correlate level: metric, Happiness level: metric
Theoretical range: unlimited

The instrument must be correlated with the endogenous explanatory variables, conditionally on the other covariates. If this correlation is strong, then the instrument is said to have a strong first stage. A weak correlation may provide misleading inferences about parameter estimates and standard errors.
The instrument cannot be correlated with the error term in the explanatory equation, conditionally on the other covariates. In other words, the instrument cannot suffer from the same problem as the original predicting variable. If this condition is met, then the instrument is said to satisfy the exclusion restriction.


See Mardia Kent & Bibby (1979): Multivariate Analysis