{"id":55,"date":"2025-07-15T13:34:46","date_gmt":"2025-07-15T13:34:46","guid":{"rendered":"https:\/\/functiontranslator.com\/2021\/02\/12\/betainv\/"},"modified":"2021-02-13T11:32:44","modified_gmt":"2021-02-13T11:32:44","slug":"betainv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/en\/betainv\/","title":{"rendered":"BETAINV"},"content":{"rendered":"

Today, let’s delve into a robust statistical tool available in both Microsoft Excel and Google Sheets: the BETAINV<\/strong> function. This function is invaluable for calculating the inverse of the cumulative beta probability density function.<\/p>\n

Overview and Syntax<\/h2>\n

The syntax for the BETAINV function is as follows:<\/p>\n

BETAINV(probability, alpha, beta, [A], [B])<\/code><\/pre>\n
    \n
  • probability:<\/strong> This is the probability for which the inverse cumulative beta distribution is calculated.<\/li>\n
  • alpha:<\/strong> A parameter of the distribution, which must be greater than 0.<\/li>\n
  • beta:<\/strong> Another parameter of the distribution, which must also be greater than 0.<\/li>\n
  • A:<\/strong> Optional. This represents the lower bound of the x range. If omitted, the default is 0.<\/li>\n
  • B:<\/strong> Optional. This represents the upper bound of the x range. If omitted, the default is 1.<\/li>\n<\/ul>\n
    Examples and Use Cases<\/h2>\n
    To clarify how the BETAINV function can be used, let\u2019s review some examples.<\/p>\n
    Example 1: Basic Usage<\/h3>\n
    Let’s calculate the inverse of the cumulative beta distribution for a probability of 0.3, with alpha = 2 and beta = 5:<\/p>\n\n\n\n
    Formula:<\/th>\n=BETAINV(0.3, 2, 5)<\/td>\n<\/tr>\n
    Result:<\/th>\n0.186244<\/td>\n<\/tr>\n<\/table>\n
    This result indicates that the corresponding x value for a cumulative probability of 0.3 is approximately 0.186244.<\/p>\n
    Example 2: Specifying the Range<\/h3>\n
    Next, we’ll calculate the inverse for a probability of 0.6, with alpha = 2, beta = 5, but this time, within the x range of 0.1 to 0.9:<\/p>\n\n\n\n
    Formula:<\/th>\n=BETAINV(0.6, 2, 5, 0.1, 0.9)<\/td>\n<\/tr>\n
    Result:<\/th>\n0.469026<\/td>\n<\/tr>\n<\/table>\n
    By setting the range from 0.1 to 0.9, we adjust our calculation to this specific interval, refining our results.<\/p>\n
    Example 3: Real-World Application<\/h3>\n
    Consider a scenario where you are analyzing the completion rates of an online survey. To determine the completion rate corresponding to the top 10% of survey participants, use the following inputs–alpha = 45 and beta = 20:<\/p>\n\n\n\n
    Formula:<\/th>\n=BETAINV(0.9, 45, 20)<\/td>\n<\/tr>\n
    Result:<\/th>\n0.730771<\/td>\n<\/tr>\n<\/table>\n
    Hence, the completion rate for the top 10% of survey participants is approximately 73.08%.<\/p>\n
    With a clear understanding of the BETAINV function, you can now effectively apply this tool to your statistical analyses and data assessments.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Returns the inverse of the cumulative distribution function for a specified beta distribution<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[205],"tags":[],"class_list":["post-55","post","type-post","status-publish","format-standard","hentry","category-compatibility"],"acf":[],"yoast_head":"\nExcel BETAINV Function \u2013 How It Works, Formula Examples and Syntax<\/title>\n<meta name=\"description\" content=\"Learn what the Excel BETAINV function does. 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