To determine whether each column represents a nominal or ordinal variable, we need to understand the definitions:
- Nominal variables are categories without a specific order (e.g., Gender, Hair Color).
- Ordinal variables have a meaningful order but no consistent difference between the categories (e.g., Rank, Satisfaction Ratings).
Here’s an analysis of each variable:
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Rank: Ordinal - This variable represents the position in a sequence or order (e.g., 1st, 2nd, 3rd), which indicates a hierarchy.
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Book: Nominal - This variable represents different book titles, which are categories without any inherent order.
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Author(s): Nominal - This variable consists of names of authors, which are categories without any specific order.
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Language: Nominal - This variable represents different languages, which are categories with no inherent order.
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Year Published: Ordinal - While years are numerical values, they can be treated as categories with an order (before and after), indicating a sequential timeframe.
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Sales: Neither nominal nor ordinal – This variable is quantitative and represents numerical values (e.g., number of copies sold), which do not fit within these categories.
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Genre: Nominal - This variable represents different categories of books (e.g., Fiction, Non-Fiction) without any order.
In summary:
- Rank: Ordinal
- Book: Nominal
- Author(s): Nominal
- Language: Nominal
- Year Published: Ordinal
- Sales: (Quantitative, not nominal or ordinal)
- Genre: Nominal