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Cost accounting is a branch of accounting that focuses on determining the cost of producing goods or services in order to aid in managerial decision-making and cost control. It involves collecting and analyzing financial and non-financial data related to the production process, such as expenses, labor costs, material costs, overhead costs, etc.
The other statements you mentioned are related to performance management and appraisal, which is a separate process from cost accounting. Managers rating employee skills, describing performance, comparing employee compensation to productivity, and setting goals together with employees fall under the realm of performance management, where performance evaluations and goal setting are conducted to assess and improve employee performance.