Latent Class Analysis

Uses R Statistics to perform Latent Class Analysis (LCA) described in poLCA.pdf

 

 

From the Plots menu:

 

 

 

 

 

Option

Description

Select field:

7. Standardized Score Residual

Numerical data accepted.

Persons are rows, items are columns

Persons are columns, items are rows

The columns are treated as items (variables) in this analysis.

Omit persons with missing data

Omit items with missing data

Keep persons/items with missing data

Missing data is allowed

Column labels

in R Statistics "data" dataframe and output

Graph of column-category class probabilities

Item data is stratified into categories. The categories are analyzed as nominal, not ordinal. Each category of each item is reported with a probability for each class

Graph of column class membership

The category probabilities are summarized by column

Excel worksheet of most probable row class

The most probable row for each row is reported together with the person PFILE= or item IFILE= data by Excel

Number of latent classes to assume

"1" reports the log-linear independence model

"2", "3", "4" report latent classes

Maximum iterations

poLCA usually requires only a few iterations

Number of estimations. Best is reported.

Starting values are random. Multiple estimations guard against false estimates.

Number of categories for decimal data

Data are stratified into categories, which are treated as nominal.

 

Output from R Statistics:

Model 1: llik = -1014.741 ... best llik = -1014.741

Model 2: llik = -988.4622 ... best llik = -988.4622

Conditional item response (column) probabilities,

by outcome variable, for each class (row)

 

$X4.1.3.4

          Pr(1) Pr(2)  Pr(3)

class 1:  0.0000  0.75 0.2500

class 2:  0.0435  0.00 0.9565

.....

$X17.1.4.3.1.2.4

         Pr(1)  Pr(2)  Pr(3)

class 1:    0.5 0.4167 0.0833

class 2:    0.0 1.0000 0.0000

 

Estimated class population shares

0.3429 0.6571

 

Predicted class memberships (by modal posterior prob.)

0.3429 0.6571

 

=========================================================

Fit for 2 latent classes:

=========================================================

number of observations: 140

number of estimated parameters: 73

residual degrees of freedom: 67

maximum log-likelihood: -988.4622

 

AIC(2): 2122.924

BIC(2): 2337.664

G^2(2): 1161.126 (Likelihood ratio/deviance statistic)

X^2(2): 8334110 (Chi-square goodness of fit)

 

summary of column class probabilities

                    [,1]      [,2]

X14.1.4.2.3.4.1 0.8757764 0.7714286

...

X10.2.4.3.1     0.3614907 0.5714286

 

Graphs:

 

 

Excel worksheet:

 

 


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