Proportion Method
Proportion Method - Related Videos
01:20
Sample Proportion and Population Proportion
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2023
Collecting samples or responses from an entire population takes significant time and effort, so a researcher collects responses from only a sample of that population. Suppose a study needs to collect information about a specific mobile application. After sample collection, the researcher analyzes the data and discovers that most individuals in the sample use that specific mobile application. The sample proportion measures the number of individuals in a sample who either use or don't use the...
01:24
Testing a Claim about Population Proportion
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2023
A complete procedure for testing a claim about a population proportion is provided here. There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data. The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
01:09
Pharmacodynamic Models: Additive and Proportional Drug Effect Model
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2026
Drug response models describe how pharmacological agents interact with biological systems to produce measurable effects. Baseline responses are inherent physiological activities without a drug significantly influencing the observed pharmacological outcomes. Depending on the drug response model employed, these baseline responses may combine with the drug's effect in either an additive or proportional manner.Additive Drug Response ModelIn the additive model, the drug effect is independent of the...
09:01
Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Cited by 5 •
2017
We propose a method to extend the corresponding frequency by using a pre-emphasis technique. This method compensates for the gain reduction of a galvanometer mirror in sine-wave path tracking using proportional-integral-differential control.
10:06
The ELISA Method
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2023
An enzyme-linked immunosorbent assay (ELISA) is typically performed to detect the presence and/or amount of a target protein of interest within an experimental sample. Detection of the target protein is made possible by antibodies, which make the ELISA an immunoassay. Through a series of incubation and washing steps, these antibodies, which are frequently linked, or conjugated, to an enzyme, will detect protein coating the bottom of a well on a microtiter plate. When exposed to a substrate,...
FAQs
Nonzero denominators are essential because each ratio must be defined before the equality can be manipulated. After writing a/b = c/d, cross-multiplication produces ad = bc, an equivalent equation under that condition. The solver can then use inverse operations to isolate the unknown, while avoiding an expression whose denominator would make the original relationship meaningless.
Proportional quantities maintain a constant multiplicative relationship, so one quantity changes by the same scale factor as the other. This differs from merely adding a fixed amount, which does not preserve a ratio. Comparing equivalent ratios or rates helps determine whether a situation is suitable for the proportion method and whether the quantities vary consistently.
In a scale drawing, corresponding measurements must be paired in the same order, such as drawing length with actual length. Their equal ratios represent the common scale relationship. Once three corresponding values are known, the missing measurement can be found through the proportion method. The result allows a diagram to represent or recover a real measurement while preserving similarity.
Start by identifying the two pairs of quantities and keeping corresponding units aligned. Then express their relationship as equal ratios, substitute known values, and cross-multiply. Use inverse operations to isolate the unknown. Finally, compare the result with the original context: the value should fit the same scale or rate.
A unit rate describes a relationship for one unit, making different quantities easier to compare consistently. Setting equivalent rates in a proportion allows an unknown amount or converted measurement to be determined from a known relationship. This approach connects numerical calculations with the multiplicative scale between units rather than treating the values as unrelated numbers.
Recipe adjustments use equivalent relationships between ingredient amounts and serving quantities, allowing an amount to be scaled while preserving the original balance. Percent calculations similarly compare a part, a whole, and the corresponding rate. In both cases, the proportion method organizes known and unknown quantities so the resulting value reflects the intended multiplicative relationship.