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Fair random assignment (also called probabilistic one-sided matching) is a kind of a fair division problem.. In an assignment problem (also called house-allocation problem or one-sided matching), there are m objects and they have to be allocated among n agents, such that each agent receives at most one object.
Random assignment or random placement is an experimental technique for assigning human participants or animal subjects to different groups in an experiment (e.g., a treatment group versus a control group) using randomization, such as by a chance procedure (e.g., flipping a coin) or a random number generator. [1]
Depending on the number of within-subjects factors and assumption violations, it is necessary to select the most appropriate of three tests: [5] Standard Univariate ANOVA F test—This test is commonly used given only two levels of the within-subjects factor (i.e. time point 1 and time point 2).
Randomization is a statistical process in which a random mechanism is employed to select a sample from a population or assign subjects to different groups. [1] [2] [3] The process is crucial in ensuring the random allocation of experimental units or treatment protocols, thereby minimizing selection bias and enhancing the statistical validity. [4]
The balls into bins (or balanced allocations) problem is a classic problem in probability theory that has many applications in computer science. The problem involves m balls and n boxes (or "bins").
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Return on Time Invested (ROTI) is a metric employed to assess the productivity and efficiency of time spent on a specific activity, project, or product. The concept is similar to return on investment (ROI), but instead of financial capital , ROTI measures the qualitative and quantitative outcomes derived from the time invested.
Checking whether a given random allocation can be implemented by a lottery over EF1 and PO allocations is NP-hard. Babaioff, Ezra and Feige [16] show: A polynomial-time algorithm for computing allocations that are ex-ante proportional, and ex-post both PROP1 and 1/2-fraction maximin-share (and also 1/2-fraction truncated-proportional share).