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When setting up an experiment, whether it's a scientific study or a local food contest, the structure of that experiment is crucial for obtaining reliable results. Experimental design involves creating a procedure to test a hypothesis while attempting to control for as many variables as possible. An important aspect of experimental design is determining how participants, or in this case, clam chowders, are selected and evaluated.

A well-designed experiment in Pismo Beach would ensure that judges are randomly assigned chowders, and that these chowders are presented in a similar fashion to avoid any influences unrelated to taste. Moreover, specifying how the chowders should be rated on a scale – like texture, flavor, and appearance – would help to quantify the results. If all the methodologies are standardized, the result, as in the case of Denny's victory, would be credible and likely reflective of the true preference of the judges.

Bias in experiments is a distortion of results due to unintended influences. This can come from the experimental setup, the subjects, the researchers, or other external factors. The clam chowder contest demonstrates an excellent example of avoiding selection bias – a common type of bias where the selection of participants, or in this case the chowders, influences the result. By blinding the judges to the source of each chowder, the contest organizers prevented the judges' brand perceptions from affecting their ratings.

Had the contest not been blind, the judges may have had a cognitive bias towards chowders from seafood-specific restaurants. This underlines the significance of eliminating as much bias as possible to ensure that the outcome of an experiment is based on the actual performance or characteristic being tested, rather than extraneous and irrelevant factors.

Statistical analysis is the process of summarizing, interpreting, and making conclusions from collected data. In the context of the clam chowder contest, statistical analysis could involve comparing the average scores from judges for each restaurant's chowder. It might involve identifying patterns or outliers in the ratings, and possibly correlating judge preferences with specific ingredients or textures.

For Denny's success story, a statistical test might look at whether their chowder's win was statistically significant, or merely a chance occurrence. By analyzing variance between scores and calculating probability values, organizers can infer the reliability of Denny's win. Proper statistical analysis protects against random chance leading to incorrect conclusions, thereby providing confidence that Denny's chowder was, in fact, a hit among unbiased palettes.