5.8 Basic Exploratory Analysis

In our data exploratory analysis, we can load up our data set into R (assuming we’re now starting the analysis).

data.us.only <- read.csv("PISA research data.csv")

When it comes to basic exploratory analysis, I prefer the describe() function from the psych package. The describe() provides several information including the sample size, mean, standard deviation, median and could also get information on the skewness and kurtosis for each item. From the results, all the items have skewness and kurtosis within acceptable range, i.e., \(\pm 2\).

describe(data.us.only)
##          vars    n mean   sd median trimmed  mad min max range  skew kurtosis   se
## INTICT1     1 5433 2.77 0.87      3    2.82 1.48   1   4     3 -0.33    -0.52 0.01
## INTICT2     2 5433 3.30 0.74      3    3.42 1.48   1   4     3 -1.06     1.22 0.01
## INTICT3     3 5433 3.25 0.73      3    3.35 0.00   1   4     3 -0.90     0.96 0.01
## INTICT4     4 5433 2.87 0.82      3    2.91 1.48   1   4     3 -0.38    -0.35 0.01
## INTICT5     5 5433 2.42 0.89      2    2.40 1.48   1   4     3  0.16    -0.72 0.01
## INTICT6     6 5433 3.27 0.69      3    3.35 0.00   1   4     3 -0.90     1.39 0.01
## COMPICT1    7 5433 2.85 0.80      3    2.89 0.00   1   4     3 -0.43    -0.17 0.01
## COMPICT2    8 5433 2.92 0.80      3    2.98 0.00   1   4     3 -0.53    -0.01 0.01
## COMPICT3    9 5433 3.31 0.68      3    3.38 0.00   1   4     3 -0.97     1.53 0.01
## COMPICT4   10 5433 2.99 0.76      3    3.04 0.00   1   4     3 -0.60     0.34 0.01
## COMPICT5   11 5433 2.98 0.79      3    3.03 0.00   1   4     3 -0.60     0.16 0.01
## AUICT1     12 5433 2.49 0.96      3    2.49 1.48   1   4     3  0.00    -0.96 0.01
## AUICT2     13 5433 2.52 0.91      3    2.52 1.48   1   4     3 -0.14    -0.78 0.01
## AUICT3     14 5433 3.12 0.75      3    3.21 0.00   1   4     3 -0.87     1.06 0.01
## AUICT4     15 5433 2.87 0.83      3    2.93 0.00   1   4     3 -0.52    -0.16 0.01
## AUICT5     16 5433 3.16 0.75      3    3.26 0.00   1   4     3 -0.91     1.01 0.01
## SOIAICT1   17 5433 2.79 0.78      3    2.83 0.00   1   4     3 -0.60     0.19 0.01
## SOIAICT2   18 5433 2.51 0.86      3    2.51 1.48   1   4     3 -0.11    -0.66 0.01
## SOIAICT3   19 5433 2.56 0.96      3    2.57 1.48   1   4     3 -0.16    -0.93 0.01
## SOIAICT4   20 5433 2.53 0.87      3    2.53 1.48   1   4     3 -0.23    -0.65 0.01
## SOIAICT5   21 5433 2.62 0.86      3    2.64 1.48   1   4     3 -0.34    -0.51 0.01