There isn't a universally agreed-upon set of three types of scaling. The number of scaling types depends heavily on the context. However, we can explore different contexts where three types are prominent.
1. Data Measurement Scales: Three Types (simplified)
While four scales of measurement exist (nominal, ordinal, interval, and ratio), we can simplify them into three broad categories for easier understanding:
- Categorical: This includes nominal data, where values are assigned to categories without any inherent order (e.g., colors, gender).
- Ordinal: This scale represents data with a ranking or order, but the differences between ranks aren't necessarily uniform (e.g., customer satisfaction ratings—low, medium, high).
- Numerical: This encompasses both interval and ratio scales, representing data with meaningful numerical differences. The key difference between interval and ratio is the presence of a true zero point in ratio scales (e.g., temperature in Celsius is interval; weight in kilograms is ratio).
2. System Scalability: Three Types (Swizec Teller's categorization)
In the context of system scalability, as described by Swizec Teller (https://swizec.com/blog/the-3-types-of-scalability), there are three main types:
- Vertical Scalability: Increasing the resources of a single machine (e.g., adding more RAM or CPU power to a server). This is limited by the hardware's capabilities.
- Horizontal Scalability: Adding more machines to a system to distribute the workload. This allows for greater scalability than vertical scaling but introduces complexities in coordination and management.
- Functional Scalability: Focusing on improving the efficiency of the application's algorithms and code to handle increased workloads. This involves optimizing processes to reduce resource consumption.
3. Map Scales: Three Ways to Express Scale
In cartography, map scales are expressed in three ways (https://education.nationalgeographic.org/resource/map-scale):
- Representative Fraction (RF): A ratio showing the relationship between map distance and real-world distance (e.g., 1:100,000).
- Verbal Scale: A statement describing the relationship (e.g., "1 cm equals 1 km").
- Graphic Scale (or Bar Scale): A visual representation using a bar showing the distance equivalence.
It's important to note that the "3 types" are context-dependent. The question needs further clarification to specify the domain.