Child pages
  • Means and Values of Nodes

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Example


Localtab Group


Localtab
activetrue
titleCategorical Variable

Let's take a discrete node Age with three categorical states:

  • Young Adult
  • Adult
  • Senior

The Node Editor allows associating numerical values with these states.


LaTeX Formatting
block-alignleft
v$$v = 0.23 \times 25 + 0.415 \times 45 + 0.355 \times 80 = 52.825825$$



Localtab
titleDiscrete Numerical Variable

Let's suppose now that the variable Age has three numerical states.

As it's a numerical node, its monitor will have a Mean value, a Standard Deviation and an Expected Value.

LaTeX Formatting
block-alignleft
When the states do not have any associated values, $V_s$ is automatically set to the numerical value of the state.

Otherwise, the state values defined by the user are used:

LaTeX Formatting
block-alignleft
The Mean value $m$ is computed with the following equation: $$m = \sum_{s \in S} p_s \times c_s$$ where $c_s$ is the numerical value of the state.



Localtab
titleContinuous Numerical Variable

Let's consider now a continuous variable Age defined on the domain [15 ; 99],  discretized into three states:

  • Young Adult: [15 ; 30]
  • Adult: ]30 ; 60]
  • Senior: ]60 ; 99]

Since it's a numerical node, its monitor has a Mean value, a Standard Deviation and an Expected Value as well.


LaTeX Formatting
block-alignleft
The Mean value $m$ is computed with the following equation: $$m = \sum_{s \in S} p_s \times c_s$$ where $c_s$ is the central tendency of the state defined as:
  • the mid-range of the state when no data is associated,
  • the arithmetic mean of the data points that are associated with the state.


LaTeX Formatting
block-alignleft
When the states do not have any associated values, $V_s$ is automatically set to the central tendency of the state.


Tip


LaTeX Formatting
block-alignleft
When a dataset is associated with a continuous variable, clicking on the Generate Values buttons sets the values $V_s$ to the current arithmetic means.




...