Adding glass particles to clay brick may improve the structural properties of the brick. The article “Effects of Waste Glass Additions on the Properties and Durability of Fired Clay Brick” (S. Chidiac and L. Federico, Can J Civ Eng, 2007:1458–1466) describes experiments in which the compressive strength (in MPa) was measured for bricks with varying amounts of glass content and glass particle size. The results in the following table are consistent with means and standard deviations presented in the article.
Estimate all main effects and interactions. Construct an ANOVA table. You may give ranges for the P-values.Is the additive model plausible? Provide the value of a test statistic and the P-value. Can the effect of glass content on strength be described by interpreting the main effects of glass content? If so, interpret the main effects, including the appropriate test statistic and P-value. If not, explain why not. Can the effect of particle size on strength be described by interpreting the main effects of particle size? If so, interpret the main effects, including the appropriate test statistic and P-value. If not, explain why not.
Technical Vocab – PHIL 1010 Lecture 2 Key: Terms – ___ Topics – ___ Important – ___ What is an argument o Arguments are statements that represent an inference. o Premises are statements that support a conclusion. What is an inference o Inferences are thoughts that we believe is true. Inferences can take place conscious or unconsciously. o Inferences are implicit while arguments are explicit. o Implicit thoughts are implied, suggested, or understood but not directly expressed. o Explicit thoughts are usually overly expressed. Sentences & Statements o Sentences are grammatically correct string of words. o Declarative sentences can be either true or false. o Statements are or a part of declarative sentences that may be true or false. o A question or a command is a sentence but not a statement. Kinds of statements o Conjunctions are statements that are connect by words such as “and” or “but”. o Disjunctions are statements connect by the word “or” Statement & Propositions o Propositions are the content of a statement. o Two or more propositions may express the same propositions. Conditional statements o Conditional statements are usually premises or conclusions of arguments. o Conditional statements can’t be arguments by itself. o Some conditional statements represent inferences and