“Testing the Relationship Between Public Interest and Trust in Building Community Capacity: A Calculation and Analysis of Pearson’s Correlation Coefficient”

Sustainable communities are the product of
strategic decisions, actions and investments guided by an underlying theory that
can be tested through empirical evidence and adjusted (Bridge between Theory
and Practice) to more accurately reflect reality.  Models are often contextual in nature and
must either, be modified for each context or model builders must strive for
generalizability.  For the third paper, you
are part of a policy team that advises key community leaders and public
officials of the Wichita-Sedgwick County region on the Preliminary Model for Building Community Capacity in
preparation for the Perfect Storm. The intent of the policy team is
to test the proposed model and to provide insight about possible actions and
Calculation Section 
·     
Provides calculations
·     
Provides a conceptual description of the logic
behind the statistic using the example
Provides calculation provided in the codebook and 
A
Pearson’s Correlation Coefficient (PCC) is a statistical quantitative measure
that determines the range and direction of the linear relationship between two
variables (Statistics How To, 2020). The Different Factors the Public Interest
Index (PIIDX) scores and the Trust Index (TRUSTIDX) scores can be applied to
obtain Pearson’s Correlation Coefficient.
The
formula for Pearson’s Correlation Coefficient is:
r
= Σ[(x – x̄)(y – ȳ)] / √[Σ(x – x̄)² Σ(y – ȳ)²]
Where:
r = Pearson’s Correlation Coefficient x = PIIDX score y = TRUSTIDX score x̄ =
Mean of PIIDX scores ȳ = Mean of TRUSTIDX scores
For
computing the correlation, it is essential to first obtain the respondent
scores on the PIIDX and TRUSTIDX items from the survey data. Secondly, the mean
score for both the PIIDX and TRUSTIDX can be computed. These values can be
inputted into the formula to determine Pearson’s r value for each respondent.