Mill's Methods. Click on the circle for which of Mill's Methods is being used in each of the following (i.e. either: Agreement, Difference, Concomitant Variation, Residues or Joint Method). After moving to a new home in a distant city, a housewife noticed that her clothes came out of the washing machine noticeably cleaner than before. Part of the cleaning she attributed to the soap and part to the machine, both of which were the same as she had used in her previous home. Unable to identify any other factor, she decided that the improvement must be because the water in the new location was softer than it was in the old location. a) Residues b) Difference c) Agreement d) Joint Method of Agreement and Difference d) Joint Method of Agreement and Difference b) Difference c) Agreement a) Residues