binomial_test_fl()

Applies to: ✅ Microsoft Fabric ✅ Azure Data Explorer

The function binomial_test_fl() is a UDF (user-defined function) that performs the binomial test.

Prerequisites

• The Python plugin must be enabled on the database. This is required for the inline Python used in the function.

Syntax

T | invoke binomial_test_fl(successes, trials [,success_prob [, alt_hypotheis ]])

Learn more about syntax conventions.

Parameters

Name	Type	Required	Description
successes	string	✔️	The name of the column containing the number of success results.
trials	string	✔️	The name of the column containing the total number of trials.
p_value	string	✔️	The name of the column to store the results.
success_prob	real		The success probability. The default is 0.5.
alt_hypotheis	string		The alternate hypothesis can be two-sided, greater, or less. The default is two-sided.

Function definition

You can define the function by either embedding its code as a query-defined function, or creating it as a stored function in your database, as follows:

Query-defined

Define the function using the following let statement. No permissions are required.

Important

A let statement can't run on its own. It must be followed by a tabular expression statement. To run a working example of binomial_test_fl(), see Example.

let binomial_test_fl = (tbl:(*), successes:string, trials:string, p_value:string, success_prob:real=0.5, alt_hypotheis:string='two-sided')
{
    let kwargs = bag_pack('successes', successes, 'trials', trials, 'p_value', p_value, 'success_prob', success_prob, 'alt_hypotheis', alt_hypotheis);
    let code = ```if 1:
        from scipy import stats
        
        successes = kargs["successes"]
        trials = kargs["trials"]
        p_value = kargs["p_value"]
        success_prob = kargs["success_prob"]
        alt_hypotheis = kargs["alt_hypotheis"]
        
        def func(row, prob, h1):
            pv = stats.binom_test(row[successes], row[trials], p=prob, alternative=h1)
            return pv
        result = df
        result[p_value] = df.apply(func, axis=1, args=(success_prob, alt_hypotheis), result_type="expand")
    ```;
    tbl
    | evaluate python(typeof(*), code, kwargs)
};
// Write your query to use the function here.

Stored

Define the stored function once using the following .create function. Database User permissions are required.

Important

You must run this code to create the function before you can use the function as shown in the Example.

.create-or-alter function with (folder = "Packages\\Stats", docstring = "Binomial test")
binomial_test_fl(tbl:(*), successes:string, trials:string, p_value:string, success_prob:real=0.5, alt_hypotheis:string='two-sided')
{
    let kwargs = bag_pack('successes', successes, 'trials', trials, 'p_value', p_value, 'success_prob', success_prob, 'alt_hypotheis', alt_hypotheis);
    let code = ```if 1:
        from scipy import stats
        
        successes = kargs["successes"]
        trials = kargs["trials"]
        p_value = kargs["p_value"]
        success_prob = kargs["success_prob"]
        alt_hypotheis = kargs["alt_hypotheis"]
        
        def func(row, prob, h1):
            pv = stats.binom_test(row[successes], row[trials], p=prob, alternative=h1)
            return pv
        result = df
        result[p_value] = df.apply(func, axis=1, args=(success_prob, alt_hypotheis), result_type="expand")
    ```;
    tbl
    | evaluate python(typeof(*), code, kwargs)
}

Example

The following example uses the invoke operator to run the function.

Query-defined

To use a query-defined function, invoke it after the embedded function definition.

let binomial_test_fl = (tbl:(*), successes:string, trials:string, p_value:string, success_prob:real=0.5, alt_hypotheis:string='two-sided')
{
    let kwargs = bag_pack('successes', successes, 'trials', trials, 'p_value', p_value, 'success_prob', success_prob, 'alt_hypotheis', alt_hypotheis);
    let code = ```if 1:
        from scipy import stats
        
        successes = kargs["successes"]
        trials = kargs["trials"]
        p_value = kargs["p_value"]
        success_prob = kargs["success_prob"]
        alt_hypotheis = kargs["alt_hypotheis"]
        
        def func(row, prob, h1):
            pv = stats.binom_test(row[successes], row[trials], p=prob, alternative=h1)
            return pv
        result = df
        result[p_value] = df.apply(func, axis=1, args=(success_prob, alt_hypotheis), result_type="expand")
    ```;
    tbl
    | evaluate python(typeof(*), code, kwargs)
};
datatable(id:string, x:int, n:int) [
'Test #1', 3, 5,
'Test #2', 5, 5,
'Test #3', 3, 15
]
| extend p_val=0.0
| invoke binomial_test_fl('x', 'n', 'p_val', success_prob=0.2, alt_hypotheis='greater')

Stored

Important

For this example to run successfully, you must first run the Function definition code to store the function.

datatable(id:string, x:int, n:int) [
'Test #1', 3, 5,
'Test #2', 5, 5,
'Test #3', 3, 15
]
| extend p_val=0.0
| invoke binomial_test_fl('x', 'n', 'p_val', success_prob=0.2, alt_hypotheis='greater')

Output

id	x	n	p_val
Test #1	3	5	0.05792
Test #2	5	5	0.00032
Test #3	3	15	0.601976790745087