Calculation of median, Q1, and Q3 with survival probabilities in Nonparametric Distribution Analysis (Right-Censoring)

For right-censored or complete data, you can use survival probabilities in nonparametric distribution analysis with the Kaplan-Meier estimates to calculate the median, the first quartile (Q1), and the third quartile (Q3):
  • The median is the time associated with the first survival probability in the table less than or equal to 0.50.
  • Q1 is the time associated with the first survival probability in the table less than or equal to 0.75.
  • Q3 is the time associated with the first survival probability in the table less than or equal to 0.25.

For example, suppose you have the following output:

Nonparametric Distribution Analysis: Temp100
Variable: Temp100

Censoring

Censoring InformationCount
Uncensored value34
Right censored value6
Censoring value: Cens100 = 0
Nonparametric Estimates

Characteristics of Variable


Standard
Error
95.0% Normal CI



Mean(MTTF)LowerUpperQ1MedianQ3IQR
44.78134.4336636.091453.471124385430

Median = 38
The first survival probability in the table that is less than or equal to 0.50 is 0.475. The time associated with this survival probability is 38; therefore, the median is 38.
Q1 = 24
The first survival probability in the table that is less than or equal to 0.75 is 0.75. The time associated with this survival probability is 24; therefore, Q1 is 24.
Q3 = 54
The first survival probability in the table that is less than or equal to 0.25 is 0.25. The time associated with this survival probability is 54; therefore, Q3 is 54.

If the survival probability cannot be found in the table, then the quartile or median value is displayed as an *. For example, in the following table, there is no survival probability less than or equal to 0.25, so Q3 is *.

Nonparametric Distribution Analysis: Temp80
Variable: Temp80

Censoring

Censoring InformationCount
Uncensored value37
Right censored value13
Censoring value: Cens80 = 0
Nonparametric Estimates

Characteristics of Variable


Standard
Error
95.0% Normal CI



Mean(MTTF)LowerUpperQ1MedianQ3IQR
63.71233.8345356.196871.22794855**